I am definitely of the "inferiority complex" category - if I have a lucky or ugly win against a superior opponent, I am extremely unlikely to accept a rematch offer. Too busy gloating😂
What Is YOUR Rematch Personality??
I couldn't see mine, I think I've only been offered a rematch twice. The first time was a draw and my opponent asked for a rematch which he lost. The second time was my loss but I had played so bad that I didn't want another rematch so I refused it.

i refuse rematch requests to analyze:
STUDYING BECAUSE I ENJOY LEVELING UP MY SKILLS BUT TOO BUSY TO PLAY A LOT personality.

At my rating/time zone in bullet it usually takes a little while (not longer than a few minutes, but not instantly like at lower ratings) to find a game, so it is beneficial for me to offer and accept rematches, since I can get to the next game immediately. There are only a small pool of players anyway, so I end up playing the same people all the time regardless of whether or not they take the rematch.
In blitz it is a different story, I don't like rematches and generally only offer them when I have reason to belive my opponent is severely tilted or otherwise not playing up to their full strength. In that case I will continue to rematch them as much as possible to steal their rating. I guess I (somewhat) fit into personality #2 in this case.

I never offer rematches, but I'll try to accept rematches when they're offered to me if I am able to play another game at that moment.

I offer rematches if my opponent made a sudden and simple blunder in a somewhat equal position. I may also offer rematches if I believe that my opponent is significantly stronger than me, as playing them would naturally improve my chess (although most of them decline). Case in point is my games with @Khvicha_Supatashvili (he's really strong!) who was gracious enough to play several games with me, winning them all until I finally salvaged one point (the score is somewhere near a lopsided 15-1 in his favor).
I will also 100% offer rematches if we're playing bullet and you play a-la-Tal or Nezhmetdinov (I try to play that way myself most of the time - only in bullet tho).
Also selective rematch offers if I'm itching to try out a new system/idea quickly in a lot of games (sorry, @irk7890 for that 10-0 massacre).

OP missed some fairly obvious exceptions...
I never offer/accept rematches because (in the evening) I only set aside time for one game - I'm a parent and have other things to do, OR (if I play earlier in the day) I always analyze directly afterward while the game is still fresh in my mind (and also, I still have other things to do).

I almost never rematch my opponents. After I crush them, it's even more satisfying just to keep them waiting.
The subject of Rematches is an oft-debated one, with much drama/vitriol on all sides...I have observed and experienced various aspects of this phenomenon (rematches), and I've come to the conclusion that different personalities are at play whenever a Rematch is offered/requested...for your consideration:
1. if you win because your opponent blundered--or in some cases did the infamous Misclick-- and then you offer a Rematch, then most likely you are of the "NOBLE" type of personality, trying to give the opponent a second chance...
2. if you win and crushed your opponent and then you offer a Rematch (especially if you do so repeatedly), then likely you are of the "SADISTIC" personality, trying to crush said opponent again for the pure enjoyment of doing so...
3. if you win--either by checkmate or by timeout--and the game was well-played by both sides and then you offer a Rematch, then most likely you are of the CONGENIALLY COMPETITIVE personality...
4. if you win on time by using the infamous "flagging" technique and then you offer a Rematch, then you are of the MANIPULATIVE (sociopathic) personality...
5. if you lose by way of the infamous "rage-quit" and yet you request a Rematch, then you are of the PETTY personality...(also counts as this whenever players Abandon a game!)...
6. if you lose a generally well-played game (maybe you made a positional error or tactical error which cost you the game), and then you request a Rematch, then you are of the INTENSELY COMPETITIVE personality (think Rocky; wanting to get right back into that ring!)...
7. if you lose a game badly--especially if you keep doing this!--and yet you request a Rematch, then you are of the MASOCHISTIC personality...
***if you win a game by any means and yet you refuse a Rematch request by your opponent, then this could be several things----perhaps there is not enough time for another game (i.e., he's at work on his lunch break or something); perhaps the winner is feeling smug and doesn't want to give the opponent a chance to even the score (this would make the winner of the SUPERIORITY COMPLEX personality); perhaps he is simply tired or has other things to do...***
***if you lose a game and you refuse a Rematch offer by your opponent, then this might be one or more things-----maybe you're angry at having missed a move which cost you the game and so you're too emotional to play effectively at that moment; maybe you too don't have sufficient time for another game for a myriad of possible reasons; maybe you feel intimidated by your opponent and think that you can't beat the opponent (which would make the loser of the INFERIORITY COMPLEX personality); maybe you too are too tired to play any further or have other things to do...***
I have covered the basic scenarios of the Rematch dynamic, but I welcome and encourage others to extrapolate upon this subject and improve it if possible!!