Son's a pitcher-only, Our plan is for no throwing from mid October - Early January, although he is in the gym 4-5 times a week with a pitching specific workout program. He'll start playing catch in couple of weeks, but probably not back on a mound until late January.
I would say nothing wrong with continuing to hit and field, but as a pitcher, I would recommend a period of no throwing.
Thanks so much and the information is very helpful!!