It' s one thing for dad to help the kids, but it's different to expect a present from him. I do find it ridiculous, but if you are both happy, who cares.
The problems is that some women are completely ridiculous: throwing a tantrum because husband dares going for lunch with his mum (on Mother's Day, bastard!). Or separated mums being fuming when the kids spend the day on Mother's Day, because yes, dad should cancel a weekend with his own children for that.
Moaning because the 3 weeks old baby did not give you a Mother's Day card is a bit weird.
We all have different expectations, I don't understand why you expect a lay-in on Mother's Day - what about every other weekend? You don't show love and respect the rest of the year , do you? I would be a bit puzzled to get a card on Mother's Day from the man who lives with me. I much prefer plans to spend the weekend away together, or the weekend after if we each see our own mother that day.