Not unless you’re planning on 1v1ing a Hulk armed only with a rubber spork at any point. The heavy survivor gear is, generally, more than enough for general combat, and you’ll really hate that mouth encumbrance once your stamina is empty and the tank drone chasing you is getting ready to start redecorating the streets with your charred body chunks.
All joking aside, I’d say no. The heavy survivor mask is generally more than enough and mouth encumbrance can be crippling. For stamina alone I usually only go for the light survivor mask regardless of the heavy survivor armor all over the rest of my body.