This should definitely be added. Just as it connects in ProSeries, 1099-MISC and 1099-NECs should connect to a selected schedule and add to gross income from 1099s. A separate line for cash will cover everything else.
It's a waste of time to enter the info twice. And I do enter it two times: once in the 1099-NEC input and then again in gross income.
I don't want to chance that I include a 1099-NEC income without a corresponding entry and IRS may think that's additional income. Because of this on the Sch C I add a notation "From {name of co} 1099-NEC" so there should be no doubt that we added the income in.
