I don't resent Father's Day, but I find I'm a bit more sad than I expected. My Dad died in April. He had dementia, and he was struggling, so I was able to make peace with his death pretty quickly. But seeing all of the Father's Day ads and displays does make me a little sad.
Dad was an Army aviator, but when I was in elementary school, his schedule was surprisingly stable, and he was able to do things like be my coach for Little League. As I got older, he was doing more flying time away, and I got used to him being gone. We were still pretty close, but I don't think either of us felt like we had to see each other all the time. He and my Mom divorced while I was in college, but we kept in touch regularly, and we'd see each other once a year or so. Anyway, he was a great guy.
On a side note: I found out who my biological father was about five years after his death, and about three after my biological mother's death. He was a veteran of both Korea and Vietnam, and I think he and my biological mom weren't bad people, but just didn't make some good decisions.