I'm not advocating for them to fire the guy. But if it is true that they are going to fire him at the end of the season (I've even heard as much as the owner has already said such), why don't they go ahead & do it now.
Personally, I think you'd be doing the guy a favor. He's got to have a lot of things on his mind. I thought the reason for the Eagle's troubles is precisely because of his issues & maybe he's getting a little burned out.
I understand it's never happened before, but I would have given him some time off after his son died. Let someone else take over the team for a little while, in an interim situation. Then let him come back & prepare for next year.
Good coaches are hard to find & Reid is one of the better ones. Another team is going to pick him up & they will see some manner of success.
If you were Lurie, would you try to fix what is wrong with Reid, or would you move on?