My husband likes to start conversations in the middle - or not at all - as well. I seriously think he actually has the first part of the conversation in his head, complete with his subconscious supplying my replies. Ask him a day or two later and he'll say of course he told me about that, we just talked about it the other day!
I don't get the being upset about your SO sleeping late on their day off though. If hubby wants to sleep til noon, that's his prerogative, I'm not his mother. My getting out of bed at 7 doesn't bother him, even if I accidentally wake him. And if it's been a bad week and I haven't slept well recently I've been known to sleep late. Mowing the lawn can happen in the afternoon, when he complains about the heat at 3:30, just ask if he wants you to wake him earlier next time.
I agree with the posts about being sick though. When hubby has a sore throat or a drippy nose, it's the most terrible sore throat or drippy nose ever, but if I'm running a 101 temp and coughing so hard it feels like I'm hacking up a lung I'm still the one that ends up fixing dinner, even if it's just ordering a pizza. It just never occurs to him to bother. On occasion I have been known to walk in after work, give him a look, tell him he's in charge of dinner and lock myself in the bedroom for a few hours. But that's generally a hormonal thing. He'll end up ordering pizza or heating up leftovers.