In most situations where people are currently recorded constantly, the recording doesn't seem to produce social awkwardness. Nearly every urban public or semi-public space is this way; one may argue that cities
are pressure cookers, but it's not clear to me that the reason is ubiquitous recording.
In any case, as the tech to record becomes ever smaller and less obtrusive, there will ultimately be no way to know whether you are being recorded digitally. Therefore society and people's reactions will adjust.