I guess I have to agree with both Tamske and EJCC...I guess it could go like this?
Te: "I should be doing something productive."
Ne: "Hey, let's draw a pretty picture, to put on the wall!

"
Te: "I guess I don't have that many decorations up there... so it's technically productive... Let's do it."
Si (momentary):"WTF PEOPLE I have a LONG LIST of things you could be doing that are WAY more productive."
Te: "Oh right. Sorry Ne. Some other time. Let's do this project!!!"
Ne: "There has to be a better way of doing this."
Te: "Let me think"
Ne: "This improves the product."
Te: "Implement it."
Ne: "But what about this?"
Te: "Which is better?"
Ne: "Not sure."
Te: "Let's be productive elsewhere until you know for sure."
Ne: "Like drawing a pretty picture?

"
I know it's conjecture and I apologize for it and it's also still too simplistic I feel, but does it somewhat come close? There is still some Si, but it's has a weak influence and an inability to stop the cycle.
*Edited to remove my ridiculous misinterpretation of the above post, in which I thought I was being insulted*
I actually think Tamske's section of the dialogue puts a little too much faith in Te

From my experience, those downward spiral moments occur when my Te weakens in moments of stress and lets Ne rule in ways that it shouldn't.
Here is a revised version that is very, very similar to Tamske's, but with weaker, more guilty Te (which is how mine is in these situations, but might not be how every ESTJ's is):
Te: "I should be doing something productive."
Ne: "Hey, let's draw a pretty picture, to put on the wall!

"
Te: "I guess I don't have that many decorations up there... so it's technically productive... Let's do it."
Si:"WTF PEOPLE I have a LONG LIST of things you could be doing that are WAY more productive."
Te: "Crap, you're right. I should be doing that...

"
Ne: "But it's boring and we hate it! And wouldn't it be better to do something interesting and creative??

"
Te: "Well..."
Ne: "Seriously - we hate this task, we don't like it - so let's do something interesting instead."
Te: "... Fine. But I feel bad about this."
Ne: "Feel bad about it later! NOW is about CREATIVITY!"
*hours pass by*
Ne: "The picture's done! And it's so pretty!!!"
Te: "I guess... but I still feel really, really bad about this. The deadline is approaching. I should be doing my productive task. I really, really should."
Ne: "You could do that OTHER work you have planned - you know, the project that's due later on in the week but isn't deathly boring!"
Te: "I guess that's technically productive..."
... And the cycle repeats, and the spiral goes down, until the ESTJ has to resort to what most other people wouldn't have an issue with, but the ESTJ has issues with because of high standards - i.e. finishing the project within hours - or minutes - of when it's due. Because obviously there's an inevitable moment when it goes like this:
Ne: "Fourteenth project: completed! Let's do another fun thing!"
Te: "LET'S NOT! WHY DON'T YOU SHUT UP SO I CAN GET SOME WORK DONE!!!!!"
Ne: "

"
Fi: "Sorry Ne, but it had to be said."
Si: "Glad to see you've figured out what's REALLY important, Te. Now here's that priority list I was telling you about..."