I think you would lose your F1 status if you did that. In case TPS were to end next year, you would not be able to go back to F1 because you failed to maintain the minimum credits requirement for F1 status.

You might hear people saying you already lost your F1 because you went on TPS. That would be incorrect, you don't lose your existing immigration status as long as you do what's required to maintain it. You can be on F1 and TPS at the same time. Similarly with H1B, you can be on both status as long as you are NOT using TPS EAD. Just possessing TPS status is allowed along with your existing status. Only if you proceed to use TPS status (use TPS EAD, take fewer credits) will you lose your current status (F1, H1B).

Please consult with a lawyer as well since I'm not one. Just sharing my thoughts from what I understand.