Here's the thing. I had iTunes Match running before just fine. I have 28.607 songs in my iTunes library presently, of which 6,238 were purchased from iTunes. The rest are either full resolution Apple Lossless files ripped from my rather extensive CD collection built up since the late 1980s (the vast majority of the songs) or MP3 files purchased from Google Music or Amazon (probably less than a couple hundred songs). So I should be way below the 25,000 song limit. (Songs purchased from iTunes don't count towards the limit; at least, they didn't in iTunes Match.)
Now here's the kicker. iTunes Match was working fine before. So theoretically Apple Music should work fine now. And it did work fine on my MacBook Pro when I turned it on, matching everything up quite nicely. Ditto my iMac at work. However, on my home iMac, whenever I activate the iCloud Music Library, I keep getting the "Genius results can't be updated right now. An unknown error occurred (4010)" message. iTunes will gather information about my library, then chug along waiting for results from Apple, and then, after 15-20 minutes of this, I get the error message. This happens only on my home computer, and I've tried a dozen times. I've tried logging out and logging back in, deauthorizing and reauthorizing the computer, etc. No go.
The only difference between my MacBook Pro and my work iMac compared to my home iMac is that all my music files not purchased from iTunes reside on my home iMac, while on the other computers I leave the music in the cloud and stream it when I want to play it. It makes me wonder if for some reason Apple Music is counting my purchased tunes against the limit only for this computer. Why, this would happen, I have no idea. Apple Music works fine on my iPhone and iPad.
Whatever's going on, it's ******* me off royally. Am I going to have to delete 4,000 songs and then re-add them? That would be tedious indeed. As big a pain as it would be, I'm now half-tempted to copy my iTunes library to an external hard drive, delete every song in the library, empty my iCloud Music Library using one of the other computers, and then see if Apple Music works on my home iMac. Then I'd have to add all 20,000+ non-Apple tunes back and have them match again. But that would be very tedious and I am not anxious to do that at all, particularly when I know there's no guarantee that it would work.