Do you think my husband is a bad father?

I don't think "bad" is the correct word. Maybe you guys can help me. Our daughter is 3 years old. I know he loves her, but he is never involved in her life. Granted, I am the stay at home mom and he is the provider. I DO NOT mind doing all the work with the baby. I was the only one waking up in the night and taking care of her when she was a baby. He never changed diapers or fed her. But all these things I just chalked up to "He works, I stay home, that's how it is". But now that she is 3, I'm noticing he does absolutely nothing for her. He's nice to her, but never does anything with her. Asking him to take her with him to do errands usually results in an agrument. He never brings up where she should go to school, what she learned today. I started crying when I thought about christmas. I know when I was younger my dad worked and my mom stayed home. But even so, he always tried to make things special for us. On christmas he would make sure he had christmas music playing, a nice breakfast, play with all of our new toys, stay up all night wrapping presents. It would be a complete shocker if my husband did, or even thought, about any of this. I will stay up all night wrapping presents, which I don't mind at all. I LIKE doing these things for her. To him, everything is a chore. He will wake up and sit on the couch and just watch while she opens presents. Never really being involved. Probably just waiting for it to be over. But like I said, he is nice to her. Never intentionally mean...it's just almost like he doesn't care though. She seems so deprived for a real daddy. She instantly bonds with any man that will pick her up and swing her over his shoulder or tickle her or talk to her. It's just so sad. We've definitely had our problems, but I was always committed to make it work because we had a daughter together and if you can live amicably, it's best to stay together. But if she really doesn't even have a daddy, does it matter if we stay together?