I bought last year a Mac Mini M1 and yes MPC software doesn't work, however I can use my MPK 249 with Logic Pro, all Midi controller features are working fine.
However I recently bought a Macbook Pro with a 1M Pro processor, I tried to use it with my MPK 249 and it didn't work, I made some investigation, because both are on Big Sur latest version. AND I got it also working on my Macbook Pro, though when I direct connect it using a USB-A to USB-C connector (since the AKAI provide cable is USB-A), it provides power to the MPK 249, but Logic Pro doesn't recognise the MPK 249.
When I switched to the setup I'm using for my Mac Mini, Logic Pro DOES see the MPK correctly, you need to restart Logic Pro, while during start Logic Pro looks at your connected devices, so Logic should see the MPK 249 during the start and you need to select it. Difference is : now I'm using my Dell 2720DC connected to my Laptop (using USB-C) and using its build in USB 3.0 / 3.1 hub to connect the MPK 249.
While I just got my Macbook, I still need to get an USB-C hub, but I will look for one with USB 3.0/ 3.1 compatibility.
But the good new is, the MPK 249 CAN be used with the M1 with Big. Sur and Logic PRO, though a compatible (to USB-A 3.0)/3.1 USB-C hub is required! Of course AKAI should update their software, while the M1 is out there for more than a year and still their software can not run (also not using Rosetta 2) on any M1, M1Pro, M1Max.