the world would be a better place if

Now I'm starting to wonder whether there might be cultural differences. ISTM that where I am (Italy), offering to share an umbrella with someone you know is just politeness, and people do it pretty often regardless of gender. (Likewise, people of either gender hold doors open for people (including strangers) of either gender all the time, and it would have never occurred to me that this might have anything to do with sexuality if I hadn't read that on the internet.)

I can't imagine it would be a /worse/ world, in any case. If it were raining harder, I would theoretically be more willing to offer help, regardless of gender (and despite at least one personal anecdotal experience agreeing with Alicorn's comment). It just seems "wrong" (cold, unfriendly) if I hadn't offered, in my situation, regardless of whether aid was accepted or not.