>we do not serve any mobile visitors at all //

How is that possible, if people know your domain name they'll type it in to their phone/tablet/watch/gamepad (or search from their shared history, or whatever). Do you reject connections that indicate they're from non-desktop devices??

I can see "we don't target mobile" but users don't often care what you're targeting and to my surprise recently I had to review mobile usage and found that it's higher in general than desktop across the board and my sites (small local websites and personal sites, mind you) followed that trend.