Female academics on twitter have been adding their 'Dr' title to their handle today (I've done it too) to make a point. A discussion has been taking place about how women with PhDs routinely find it harder than men to have their knowledge and expertise in their field recognised. It's actually a lot more complicated than that, because people have been accused of saying that people without PhDs can't be experts (not true, of course) and that they shouldn't proclaim themselves 'Dr' 'simply' for having a PhD (a bizarre claim, as there's nothing simple about it and... you are a doctor if you have a PhD?) and also the general nonsense that you get whenever you say anything feminist on the internet.
I've seen others disagreeing with this practice as it seems exclusionary to them, and I don't normally have my title in my handle for the same reasons I don't insist on it in everyday life - a title just isn't necessary, and it can make people feel like you're trying to be better than them. I've done it today, because I also think that we should be allowed to use that title when it's relevant without it being seen as showing off or being immodest - and my twitter is semi-professional, so it is appropriate to use my professional name and title.
I also expect people who address me as "[title] Bailey" to use it, because it's my title and that is what should be written on their computer screen (the only people who use my title are cold callers). If they prefer not to, then they should absolutely use 'Ms', and definitely not 'Miss' or 'Mrs', as neither of those is accurate. (Mx would also be ok but that's yet to catch on very much.)
I most definitely do not expect non-academic people in my everyday life to use 'Dr'. For example, the removal men who are currently moving all of our offices at work do not need to call me anything but Laura. This is partly a balance of power thing: I am relatively in a position of power if they are effectively doing a job for me (moving my office). But they are relatively in a position of power too, because they are men and I'm a woman. The other day two of them were talking outside my open office door (so they knew I could hear) about who on my corridor needed a crate delivered. One, reading off a list, said "Dr Laura Bailey. One crate." His colleague, who sounded very young, repeated "One crate for Miss Bailey", and that use of 'Miss' instantly made me feel infantilised, disrespected, and powerless. (He went on to repeat my colleagues' European surnames with gleeful incredulity, which endeared him to me even less.) That opportunity for casual delegitimisation by using a title that inherently includes youth, powerlessness, lack of authority is why I put 'Dr' into my twitter handle today.