Absolutely! Your looking at a job that's nearly all year around now. Even if you don't make the playoffs, your instantly thrown into the combine, draft, scouting, and looking at free agents. OTAs start soon after, mini camps, and the nest thing you know, the season is starting again. I believe social media has increased stress on coaches also, especially when their not performing good. I agree with you in for the many social platforms.
I think about Lovie going 10-6 with Chicago a few years back and lost his job. A 10 win season is pretty solid. Expectations are always growing and everyone wants to win now. Watching over players, signal calling, coaching assistants, a job for NFL head coaches is certainly stressful.