No, the point to make here is it is not the EU's call to interpret the UK constitution.
That is perfectly possible! What's the story then?
Here's a few examples:
1) a couple in my shop this afternoon. they have no internet, no computer, they actually do not have a TV either. Have a radio but the husband uses it only to listen to Test Match Special. Sole source of EU referendum information - Leave leaflets
2) elderly aunt of a acquaintance of mine, lives in a care home almost entirely staffed by east europeans and gets no sensible conversation about anything. TV is never turned to the news. Sole source of political information rabidly racist son-in-law.
3) old disabled customer of mine, poorly educated lives in a sink estate largely confined to the bedroom as the rest of her flat was until recently used as a den by drug dealers who told her to stay put. Main source of info - Leave leaflets and Leave facebook posts
Not all old people, not by any means. But lots of them. The more educated, more tech-savvy oldsters probably didn't vote particularly differently to the young 'uns.
Yes, this is a big problem for the political fallout, which I am trying to get my head around.