different amp having its own voicing for the kinda instrument its meant for.
while plugging different instrument into different amp will work(as long mono plug and instrument cable, it shud work.), but how good it sound, perhaps will have to depend on individual preference to sound and how can the sound be tweaked to get a suitable "working" sound
and in this case, if "jazz sound" is the sound being sought after, what is the characteristic of this "jazz sound" would the threadstarter be looking at? Perhaps a more indepth explanation is needed to have a better and detailed discussion
each instrument has its own signal occupying certain frequency range. The amps for the right instrument is supposed to cater to this frequency range for best result.
For different instrument, the signal frequency occupy a wide range wheras some over a shorter range. Initerchanging amps/instrument, some amp might/might not be able to cater to certain frequency range of the instrument, the sound might changed. Goot or bad that depends on individual.