The marketing of "no hello" (nohello.net) is contrary to what those examples say. So maybe there is a better way to market it instead of "no hello". Like maybe "just ask the question", or "start with a query", or "Don't just hello".

I think the tone being kind of sassy and put apon over a small inconvenience shifts the focus from the more constructive parts of the message and in that sense I agree with the person you are responding to - the etiquette evangelists might be more effective if they did less spleen venting.

My boss always sends a hello first, usually 1 to 5 minutes before I get the thing I'm actually supposed to respond to. If she just sent the whole thing at once, I could determine if it's something I need to break focus for immediately, or get to in a few minutes.