Cheating points might contribute to how quickly Hana will get suspicious/MC gets caught, and I am certain its amount will dictate whether she stays or breaks up with MC once everything is revealed. Their might be a discovery and challenge, but if the points are low enough, she'll forgive, but if you keep cheating on her after that, another break-up opportunity event will be triggered later.
Since this is an all free-to-play game, designed to sate the individual's interest, and as we keep telling the trolls: "if you don't like it, just don't play it," then if you don't like a path/girl, then a player should not feel obligated to play all paths. I personally don't like Hana or Mina, and don't care for Veronica, but I chose their relationship paths only to maximize sexy content, but as soon as any of them request exclusivity, (or takes away content that I want) I'm dropping her like a lead weight. The mass Skipping isn't worth the hassle.