I don't exactly mind the recursion perk being essentially mandatory, but it could be cool if maybe you had another perk that gave you bonus points for how few turns you had remaining, so that way there could be a tradeoff. And like it could be nice if the limit of how many extra turns you gain when filling the tank didn't go all the way down to 1, or there was some other way to get more turns back
In a way there already is a multiplier that gets bigger as you go deeper... as you do have to start going deeper to unlock any perks at all. I think it might be better to just immediately start giving you a turn limit as soon as you place your first tetromino to prevent staying at the beginning forever.
I do find that a lot of the perks seem detrimental enough that the goal is to go as long as you can withoutpicking them up, which is unfortunate.
Overall I love the core concept though!