I'll give props for trying an idle H-game, but in the end they don't mix well. It takes too long to do anything at the start, especially since you have to tier up to get sketch.
I feel like this would be way more interesting as an actual 'catcher' game, where you try to raise the three positive stats and then use restraints before clicking 'capture', with different needs for different monsters. The impact of choices on each bar is already different, it wouldn't be too much to change.