This is a tricky puzzle.
Both use F first and both use T last of the four function F T S N .
Perhaps there are two things happening Te is being influenced by. S and N the second and third preferences for the ESFJ and ENFJ.
I place ENFJ at point:2 and I place ESFJ at point:8 and there is a line between both points. The second preference for each of these two types is N for ENFJ and S for ESFJ.
The ENFJ is I see as being the 2w1 energy and the ESFJ is I see being the 8w9 energy.
There are four steps from point two to point eight and four steps from point eight to point two.
Both types seem to have some difficulty at the agenda level critically thinking wile relating to now time narrative and human activities.
There can be said to be a relay between the two points that travels in two directions.
Point eight via the line to point two and point two via the line to point eight and from point eight to point two in four steps via: 8-9-1-2 and from point two to point eight in four steps via: 2-1-9-8.
It is also interesting that the are six placings between the eight points: 2-3-4-5-6-7-8 or conversely if that is the right word 8-7-6-5-4-3-2.
So is it a question of a difficulty balancing the six instinctual variant heads with the eight cognitive processes that leads to these two types, posable difficulties with Te?
Or is it an other two part four part eight part mechanism blocking and manifesting a fixation between the four points of
2-1-9-8 , 8-9-1-2 ,
8-2-1-9 , 2-8-9-1 .
That manifests a use? ..of the Te for both ENFJ and ESFJ with a bias toward overcompensating the visceral ,that manifests an overcompensation that discourses Te as a sudo replacement for the six point: 3-4-5-6-7 or 7-6-5-4-3
The instinctual energy of point nine is think and the fixation for these two types to get court up in is the relay between the four points 8-9-1-2 or conversely 2-1-9-8 and over compensates. If we acknowledge that at points one and two we find Feeling linked with point six Feel an instinctual superego activity, and if also we acknowledge that at points seven and eight we find Sensing linked with point three Sense an instinctual ego activity, we can see how these two types the 2w1 enfj and 8w9 esfj can get locked into a fix, because at points two and one the ESFJ gains feeling to balance its its sense at point eight, and sometimes things work in four's the point seven Sensing activity mood is substituted in a trade of for agendas needs with Te Think at point nine. There will be counter balances at points 5 and 4 that work with point three and point six and there four part eight part two part components.
Same will apply with the working of the 2w1 ENFJ.
And another layer of three into four can be applied relating to the line from 8 to 2 and 2 to 8 integration/stress or disintegration and neurosis/freedom the point of integration has two out puts freedom and neurosis. This complexity has structure that I have no framework for at this point it most likely flows past to the next fourth the Point of stress or disintegration of the Stress Point counted back seven places to the conches point of type. 2-1-9- 8 -7-6-5 the eighth place would be mood at point three for the ENFJ. Structure gets complex but the point is there is a flip side to the point of integration Neurosis the will of the symbiotic needs egoic mind fixated need/needs frustrated unmet.
Some how there is or maybe an overcompensation of Te activity within An instinctual activity of relating agenda and mood via Think -(conches) at Point Nine. Point 4 and 5 or Points 5 and 4 may have a link with T and Ti because point 4 has a line connection with point 2 and point 5 has a line connection with point 8.
The rest you can work on working out for your self if you are curious.
But the point is that there are cemeteries and nuances at work between all nine points of the enneagram, and there is the principle of unification but I did not directly touch upon that component. To do so would posablely require looking at E I J P (IPEJ) (IEPJ) (IEJP) for all four points 8 2 1 9 and simply the four functions: I E P and J And the hole brain model. Note that these four may simply be my four settings but I think they are archetype universal for four Points 2, 1, 9, 8.
A states I can favour is IEPJ my nine ness. I also can favour another form of my nine ness TNSF and in my freer state NTSFP with F in quadrant C and P in quadrant A and C and N in quadrant D and S in quadrant B quadrant A and quadrant C seem to be related to Sp (quadrant:A) and So (quadrant:C) the instincts I move to as SX with in the triangle I orientate preferable within ( points 4 and 1 and 7 ) Sx/Sp , Sp/So , So/Sx Instinctual Triangle, but these things are fluid and I simply provide a snap shot of two states of being for me. Like all Persons I am of all nine points and all 18 subtypes move within Me, the hole-enneagram is intact ,and complete at the deepest levels of Being. Posable as a multiplicity held between the duality of the sub conchs and u conches co connection and separation with each other and the conches mind as a three part two the part interconnection. Two path un conches to sub conches and four path conches to sub conches conches to sub conches conches to un conches un conches to conches. A Triangle.
The thing to recognise is that functions I and E and P and J are linked to the four quadrants of the hole brain model as are the four functions S. N T F.
And the hole brain model moves in more that A to D to B to C and A to B to C to D , when an individual finds freedom the process start at quadrant D to A to B to C this works in unison with the Hole Brain Central Point and all four quadrants relay bias free with clear interconnectivity of movement movements orientations including all four quadrants A B C D independently free but never separate from the central point. The Observer Observed duality within awareness maybe understood through this paradigm of nine parts five parts Observer four parts Observed.
4 + 5 = 9
In this context the decimal point ten system runs 0-1-2-3-4-5-6-7-8-9
The zero is never hidden from the sum if we recognise the unity of the circle.
1-2-3-4-5-6-7-8-9-0
0-1-2-3-4-5-6-7-8-9