yes, T tail is more of the problem causer for deep stall than engine configuration, but
most tail mounted engines require T tail. DC9 had a special fix for the deep stall which seemed to work fine.
There are many planes with less than T tail that have rear mounted engines...
sabreliner and early citations, and the caravelle didn't have a t tail... perhaps we would call it a cruciform tail.
if you are right on the edge of a full stall in a wing mounted engine plane, adding full power might increase AOA for a moment and stall you.
add power in wing mounted engine, push forward on yoke, reduce power, pull back ( just to keep current pitch)
Heck, even the Piper LANCE one engine 6 seater had a T tail ( arrow IV too). But that is horse of a different color.