OP is talking about a laptop.
Unless you are suggesting they find a way to remove the battery, "removing the power cord and turning it on without actually turning it on" isn't something they can try.
And the fact that WiFi works on another distro suggests this isn't a weird bug-state that the card needs to be snapped out of with power-cycling tricks.
AWE is decent DLC.
It's nowhere near critical to enjoy Alan Wake. Neither is Control in its entirety.
And I think playing Alan Wake 2 first and then Control, would be just as cool because unlike other interlinked things, they are separate stories with references in both directions.
Which games you play or in what order, doesn't matter.