I don't know the answer. I'm white non Muslim so there will be elements I don't know. But a few considerations.
I once read that the Burka was first worn by relatives of The Prophet pbuh as they were getting bothered when they went out. So it was to hide who they were - not for modesty. No idea if that's true.
I would like for anywhere where you're not allowed a motorcycle helmet or other face covering for that to cover everyone, including religious covering. It feel safer as there are reasons for banning them. Although not a headscarf as they do hat's- that's just rims stop faces being visible to cameras!
As a society we have always been taught that some one covering their face is suspicious. It's not surprising we still feel that. There's a lot of reconditioning needed to get past it.
I have hearing problems, worse if I'm tired. A lot of deaf people lip read or use it, like me, to help understand what us being said. So covering mouths IS preventing communication even without going into body language.
A few years ago I read an account of someone who who a burka part time. I can remember her saying that it was great - when she had it on she didn't have to worry how she looked. This was held up as an example of modesty but to me it is just the opposite; that if she really didn't care how she looked she'd be happy to show herself without make up etc but instead she was hiding as she didn't look perfect.
I really don't know the answer. For some people I truly believe it is a choice and I can't object to that. For others there clearly is no choice and that is awful. But it's the middle group that I question. We see time and again on here people who have been brought up to believe strange things ate normal. From the outside some are incredible. But just as these people's boundaries are skewed so they accept abuse are some who think they should cover themselves victims of their family and community having too much influence? (Not suggesting abuse btw!). When people are told all their life that something is correct would they really question it or just carry on the status quo?
I hope that makes sense. It certainly isn't meant to be offensive- just late! If I have offended anyone I apologise.