Fast thinking and Ti vs Te.

I have always considered my thinking to be incredibly (turtle paced) slow.  To build on cjorr's comment about subjective opinions on speed/time passed... Since making and watching the video where my son asked me random questions, I noticed that the time I remembered taking to think of an answer was a lot longer than the time I saw it take on the video.  On one occasion, it was the opposite where I was surprised at how long I spent thinking.  I suppose it is no different than time warping on you when you are in deep thought and pretty soon 45 minutes have flown by... it goes both ways... time can also go slower in your head than what would be seen in real-time.  Even though I experience my thinking as slow, others may experience it quite differently.  And yes, it depends on who you compare yourself to.  If you want to feel like a fast thinker, simply hang out with people that think slower than you.

When it comes to forming new opinions, I can take a long time.  I ask a lot of questions.  Go through a fairly long list of scenarios in my head about the pros and cons.  If the pros and cons list comes out fairly even, then I'm in big trouble...

When it comes to debate, I consider myself a poor debater.  I prefer dialogues over debates any day.  Though sometimes I do get riled up and go for the kill.  I try not to because I always regret it afterwards.

Recalling information - I can be quick or slow depending on what kind of information I am recalling.

Wittiness - it depends on who I'm with.

I have never thought of myself as anything close to the ENTP stereotype.

edit to add:  I don't really like strategy games either.  I prefer games that involve more chance than strategy, or go-at-your-own-pace logic puzzles.

Don't give up on your theory yet. I'm neurologically dis-organized (mixed-dominance)according to some experts. My memory retrieval is complicated, which would affect the speed of my thinking.