I wouldn't suggest you take a ride from the guy... and definitely, be aware at all times...

But I think in the south & a small town most guys seeing a woman with a broken down car or bike will stop to help... and if they're told that help is not needed, they will stick around to make sure that is the case.

I do that if I run across another bike rider that's fixing a flat or whatever... I'll make sure they have the tools they need or they can call someone to come get them.

I know Ive had a flat tire in my car... and men will stop to help to be helpful, and even when I say I don't need it... will either insist and do it, or just hang out to make sure that I do get it right.