Well,...to start with; An ATR-rating will give you a job (..even if it may be with DAT, which I wouldn't mind flying for actually).
A 737 dito does not. Period.
I have a hunch MAX Cruise is a low-timer and looking for a way in. In that case an ATR-rating probably would do the job.
As a B737-low-timer with no time on type, but just the bare rating, you're scr*w*d!!