Yeah you are being a dick. Hope you will also have a little one one day and maybe then you will realise how absurd you having to correct their kids sounds like ;)
He's not a dick, the reality is that both parents and non-parents as friends do not understand that they have to actively give to a friendship. Not break-even, not take, give.
If you're not actively going out of your way for your friends then you're not a good friend. Sorry. I know life is hard right now and blah blah blah and we can do that for a while. But when it becomes an all the time thing, then you're not a good friend.
And having a kid is an all the time thing. So if you let that become an excuse for why you're not going out of your way for your friends, then you're going to lose all your friends. So, don't let that become an excuse.
Everyone expects a very convenient relationship. I come over, dump my kid on you and I just have to worry about me and my kid. Or, the inverse - you come over, your kid is nowhere to be found and I don't have to worry about anything.
Relationships don't work that way. I hold my goddamn coworkers to a higher standard of care. Stick your neck out for your friends. Be uncomfortable. Be tired. At least, sometimes. And just understand that will be repaid.