The differences in sound and capabilities between the DMG and GBC are well documented, and in fact there are artists (like Wizwars) whose sound is partially dependent on the model they use. It's also pretty well known that the GBA and newer generate their sound in emulation, not purely from the CPU.
all gameboys make square waves and noise waves and have a programmable wave channel.
and unless your sound is dependant on the model of gameboy you have (a la wizwars), then it really does not matter at all, music-wise.