I think kids remember quality time spent. Not money and big, grand holidays but time. Board games, chasing around the house being silly.
I feel for you. My DDs father has been overseas with his new wife and her two kids giving up his holiday time with his two DDs. He was also to have spent DD9 birthday with her, but left the day before. Then a week later didn't call DD12 for her birthday until the next day (they were back from overseas by then, they forgot).
She will remember that, you can't go forgetting things like that once they get older.
Both my DDs know that he doesn't spend time with them and get rather annoyed and have both voiced the view that he is picking his step children over them.
So, no I don't think they will resent you for it at all.