This is hypothetical - the glasses don’t fact-check what people say, they somehow detect willful deception, like people expect polygraphs to do, but with high accuracy. Would people welcome these, fear them, object on privacy grounds? I think it would be very contentious. Would people feel different if they only fed the information to the wearer but didn’t record or send it anywhere? What exactly would the issues be?
I don’t necessarily disagree with them. There are people who have built their entire work and social life on lies. Pulling that rug out from under them at this point would cause it all to spectacularly collapse.
However, if everyone’s lies were suddenly exposed, hardly anyone would have any ground to stand on from which to criticize others - people would discover that everyone is full of shit.