Watching a stream replay, I realized I missed a lot of content with the way I played. When I got the demon crimes available, I just did all of them. There were only two kinds of crimes for the demons, but now that I see the streamer play through it, not doing every crime right away, I see that I missed out on a lot of crimes because of the crime side mission limit. I saw a couple where you help Sable fight against Demons, and another one about a Demon car chase.
I think that's a terrible design. If they had problems with the player gaining more exp or whatever, then just take that away. Don't take away the event or players will just miss content.