A stick shake/push system is no more of a ‘band-aid’ safety device than a horn which alerts the crew if attempting to land wheels up.
MFS has identified the primary advantages of a T tail, these are of particular value on short bodied aircraft or those requiring good rudder effectiveness i.e. large asymmetric force.
The HS125 (almost T tail) and the BAe146 could in theory encounter a deep stall – a characteristic of T tail designs. Neither aircraft identified a deep stall during flight testing; this included high alpha with high pitch rates.