I only watched fully the session by which you jumped up from 116-49 to 116-2097 and partially some of your other sessions. Your style is the one that drives all games to backgames. This is one of the many strategies in backgammon, as for example is the priming game, the blitzing game etc. However each one should be used accordingly while pushing your game with any single strategy is wrong. Backgames are usually the last resort option.
I noticed you have your own feeling when the position of your backgame is suitable for you to eventually win and in that case you raise the stakes to the maximum. You either drop all other games or play them to completion at low stakes.
You ask if your strategy is correct. The answer is very simple. No!
The reason is again very simple. You bet a backgame at maximum stakes (did you set the max to 2048?) while your chances of winning -at your desired position-are only 40% (Usually single wins). You run the risk of losing 60% and almost all of those loses will be gammons.
My best advice to you is this:DON'T try this in the real world!!
You said that currently you are at 8000 and the bot is down to only 5000.
There are two possibilities for that
Either a)You got lucky in those 3-4 occasions that you managed to drive the game to your desired position with high stakes
or b)You are correctly exploiting most bots' weaknesses in backgames. If this is the case then you are right to talk about a paradox.
For your information there is actually one person at Fibs who does exactly the same thing, he exploits the bots weaknesses in backgames, and uses it to boost up his rating to quite high levels.