Simple h-bridge problem

YES, Definitely then.


(Using BJTs) You can prove what I’ve mentioned by purposely having widely varying characteristics between the NPN and PNP.
You will find, as the differences widen, the hotter the transistors will be.



As a side note (a slightly different application) when the 4 legs are separately controlled by say 4 outputs on an Arduino, placing a small delay between switching one leg to the other, can completely remove any chance of shoot through.
The delay of course gives time for a transistor to turn off before the next turns on.

Example: