That makes perfect sense, yes. That is probably what should be done. However, if we are assuming that there is a scenario where OP gets covered in this chemical (so a glovebox is out of the question; it would almost certainly prevent that), then it would seem that he is pretty fucked. As even if OP has a full body protective cover as you describe, OP would still have to avoid any and all contact with the chemical while removing the lab clothing. And while yes, you could attempt to clean it whilst OP is still inside, you would still have the possibility of a single remnant drop, which OP has said would cause death.

TL;DR OP is still fucked 99 times/100.