Personally, I like not just the combat, but also the mini-games in these games. Not many of them have them, but I genuinely enjoy most of the ones that do. If I recall correctly, all the games in the Harukanaru Toki no Naka de series feature combat.
Personally I don't mind having combat system but it should fit the storyline. It would be nice if there were cool cutscenes included in the combat where heroine/LIs saves each other. It would make it really immersive.