Well electrically it should be the same but separate breakers won't trip
off together unless linked which may or may not be possible.

By plug I presume you mean receptacle. The problem that would arise would
be someone going to work on it or equipment plugged into it might only
switch off one leg and get a nasty surprise. This might be ok in a
temporary situation with outlet and both breakers suitably labeled but
nothing you'd want to do permanently. Labels fall off and people leave,
forget or simply don't understand the concept.