Where else is he going to go? Seattle, Indy, and Carolina are the only other jobs. One is going to get Baker. One is going to get Jimmy G. One is going to sign Mariota.
We might be one of those teams who signs Garopollo or Mariota if we can't find a way to resign Winston. Assuming his feelings aren't or haven't been hurt by our courting of Deshaun Watson the past couple of weeks.
Sure, the NFL is a business, first and foremost, but as another poster above wisely said, they're been pampered, lauded over and praised as special most of their lives and that constructs huge egos often that sometimes look for real, perceived or imagined slights.
I don't want Winston's thinking right now we're not committed to re-signing him to a long-term contract, instead of just being a decent "filler" guy who maybe wins 8-9 games a year for the next 2-3 seasons for us but always suspect to being benched or replaced when a better, younger QB option comes around. He's our best option largely due to because our FO failed or were inept at attracting a better, all-around QB in FA or the Draft. Or were too cheap or over-cautious.