Addressing one of those rights, copyright: Last I read the Suno fine print, uploading a copyrighted song prevents them from claiming copyright. I think I’d feel comfortable, from that point of view, as I’ve registered my songs properly with the US Copyright office.
Tongue-in-cheek to follow: I like the music I write much more than what I hear on the radio … so maybe it would be a good thing for me to upload my music to Suno, to train it, then wait as it provides music in my style to other prompters, and then soon the whole world will be playing my kind of music!
#Bwahahaha 
They could also just write “Trust me bro”.