I'll say hello to all and sundry whether I'm on my bike or walking- though some people do look genuinely surprised. The further you are from civilisation the more likely people are to reply.
it's probably a Northern thing + there's not as many people about, and we dare to look people in the eye up here!
Not just Northern, there's plenty of saying hello down here too.
I think you generally get back what you give out.
But it can happen that some folks are just having a bad day / life, so they won't return a greeting - that's OK too.
Ha Ha, yes I meant offering to help out a lone women whose bicycle has broken/punctured etc.. The local plod (and my wife) may have something to say if I start approaching lone females for no apparent reason who don't even have a bike.
Ive been offered (and accepted) help on multiple* occasions - it's fine so long as the approach isn't creepy, or patronising.
It's nothing to do with 'chivalry' or any of that stuff, it's just offering help to a fellow human being, who may be experiencing difficulty.
I've offered (and given) help to other cyclists, many times too.
It's not that difficult to work out how to proceed really
* although I've gone tubeless now so roadside repairs are less frequent these days.