I think, TPS is not different status, it does not have to anything with previous immigration status (it is just protecting the status). Lets say, F2 apply TPS and EAD and approved. Unless and until you do not use that EAD, you will be fine, but when if you use EAD, then there are many complications at the end of TPS, but technically you are not out of status using EAD as you are already protected.

Meaning, if you use TPS EAD, then we don't know the answer, otherwise, apply TPS and do not use EAD or do not ask EAD.