Some people won't notice. Some people will. But even then - email is a fickle bitch. There are delays, server errors, etc. An email you send me RIGHT NOW may not get to me until 2am. I wouldn't judge... unless maybe EVERY correspondence I have with you rolled in at 2am. And if you're worried about the time - you could build and craft your messages and then just send them in the morning when you get up. Drafts are your friends.
I really like this idea of writing things out and sending them early in the morning, especially as lil has mentioned I might find things that need fixing. I've been working really hard to write cover letters as best as possible, but seeing as how I've applied for so many different kinds of jobs, I don't really have any mental template that fits anything. What about thenewgreen's suggestion? Is that too late? From my personal social (though non-business) experience, any communication after dinner that is unplanned is unwelcome and rude. I don't know if that applies to e-mails or not.
In my world it depends on the medium. Scheduling meetings or sending bang mails (mails market as important) after work hours is very rude and there better be a real emergency. Sending non time sensitive mails after work hours is totally normal. From my personal social (though non-business) experience, any communication after dinner that is unplanned is unwelcome and rude.
So context is key. Man, between this and what insomniasexx is posting, I think I need to write down a list of rules.
People choose to open an email. People choose to answer or glance at a phone: C'mon everyone, tell me: are you increasingly in social encounters where people glance at their phone and say, "not important" or "I'll get to it later." Subject line on email should be 100% clear: Application for Head Hunting Job #69 or whatever.