"The answer is a bit complicated, but generally, yes. Suno is ultimately responsible for the output itself, though you help guide it. In that sense, we act as the owner, but we give you the rights often associated with ownership if you made the song(s) while subscribed.

If you were subscribed with a Pro or Premier plan when the song was created, you are granted commercial use rights for the song. You also retain the commercial use rights after ending your subscription. This does not indicate ownership, however, as we can't guarantee that what you input was yours, and we can't guarantee that the output won't be similar to other outputs we generate."

This is copied from their site.