>Outside of home-labs, it's rare for me to see any devices connected to the LAN side of a wireless router these days

I would assume every gaming desktop computer would be? I actually assumed every desktop would be...

Neither my parents nor my wife's parents have their desktop connected to their router. The cable modem isn't even in the same room as the desktop.

[edit]

If it matters, my mom no longer has a desktop (she uses a docked laptop now), but it is true of the docking station and was true of her previous desktop.