I've been in an analysis. It said that we need 4 queens to imprison a rook and 3 queens to do so with a bishop. Therefore it's able to put in a game. Such as in a standard chess, if both of 2 players move exactly, it's normally ended with a draw.
P/S: @thenomalnoob, not @thenormalnoob XD
010 Typewriter44 vs EvidentRoad
https://www.chess.com/variants/custom/game/51500255/120/3
So, I got a message from @EvidentRoad (Devon) sending me this test game that he played. Both players selected their rooks as Ahabs, and the game became a draw at the end, even when Devon was down by a full queen. The concern (which I believe another member also foresaw, @thenormalnoob if memory serves) is that the rook is powerful enough that a draw could be forced every time no matter how badly a person plays, because in an endgame it would be almost impossible to corner and capture. This also brings up concerns for the bishop, because it has similar mobility.
I'd like multiple people to watch through this game and analyze it, and also consider this while playing test games of your own. We may need to adjust the rules to where you can only select from the minor pieces. But we also need to test with the bishop, because if you can't pick rook or bishop, then this variant would be down to just pawns and knights (and possibly the king), at which point the variant would be essentially gutted.
Thanks Devon and Type for the test game and finding this potential flaw, and thanks everyone else for helping me look into it more and see what we can do to address any issues.