I agree as well. Ti is more critical through logical analysis. Te is more critical of progress (the lack of thereof).
Mmm I would not call Te lacking logical analysis in any sense however. Ti tendency is just to internally rationalize about subjects without directing itself outwardly in-of-itself, where instead cognition switches to Te. Te logic is the situational alternative, based around interpreting and effecting the specific moment happening, and processing things quickly in order yield sufficiently practical outcomes for the moment. Te will never progressively rationalize topics in depth, past a given moment of experience. Instead, Si or Ni will collect and represent many of the decisions and experience of Te. The extroverted realm plays off and effects the introverted realm and visa versa, but they don't bleed into one another. So Te is quite analytical, but simply, its analysis never enters into reflection.
Immediate reflection from a moments experience ago is often the realm of Xi. Those moments when you feel like you could've done something different but it's too late, where instead strong Te, Ne, Se and Fe shine. The "aw, now it just occurs to me (your Xi)" but you've already started again into internal reflection. The moment is over. Te is a great analyst for these situations, but you won't find it idling
deeply in rationalization for thought's sake. It's simply a different mechanism of logic from Ti, this is why conflict happens between Te and Ti types. They both have a separate interpretation and experience of what logical thinking is.
This may be why Ti thinkers (esp Ti doms) undervalue Te's ability to be analytical--they're just less aware of the extroverted realm and its perceived necessities. They're not attuned to Te so they're not attuned to Te
types method of intellect.
(Also the introverted regret I described is what happens a lot to Te types with Fi

we think... "man I could've been a littler nicer back there or more catering to emotions, to bond and not be so serious and logical, but alas, I'm a Te type not an Fe type." I still find that I'm a very nice person in the moment, it's just natural for Fi types like INTJ to often think in this fashion, because INTJs have severe problems with Fe.) Which is particularly why in this thread I wanted to talk about my Fe instead of Se, how Fe is ultimately a blind spot blocked by Fi.)