If the Intel Mac can run Big Sur, then it should bypass the current compatibility issue Monterey has with certain USB chipsets.
However, you still need to make sure the DJ Mixer is compatible with the version of macOS available on the Intel Mac. This is the most important part regardless of having an Intel or M1 Mac. Beginning with macOS 10.15+ 32 bit apps are no longer supported so make sure the DJ mixer software:
32-bit app compatibility with macOS High Sierra 10.13.4 and later - Apple Support
If the DJ mixer software is a 32 bit app, then you will either need to use a newer 64 bit version of the app or you will need to find some other alternative software.
In theory if there is a proprietary Intel 64 bit app/driver for using the DJ mixer, then it should also work on an M1 Mac when using Rosetta, but drivers can be quite finicky sometimes so there is no guarantee unless the manufacturer of the DJ mixer software has updated the app for use on an M1 Mac.
If you need to install Rosetta on your Mac - Apple Support
You definitely need to check with the manufacturer of the DJ mixer to see if the hardware and software is compatible with later versions of macOS and Mac hardware.