sure do hope this is fake
and that is the most sensible sentence you'll be able to find as you explore the fake relationship building and sort of creepy game of pretend here.
my guess is it's fake. my devious hope is some dumbass from AMC or whatever agency is promoting the show somehow sold this in as marketing communication steeped in Web 2.0.
either way, the weird collision of very different time periods is fun to observe.