I think there's something in between "This guy sucks and no one should waste time on him" and "He's working hard because he's going to be the starter this year".
We saw a few situations this past year where third string QB's had to play snaps. Right now, unless we draft a QB, sign TWO FA QB's, OR the practice squad guy ascends quickly, there's no way Stidham with two years in the system isn't at least our third best guy in the room. I like that he's working hard because I want him ready in whatever role he ends up in.
But aside from that, if we end up drafting a QB high that we see as the future, you want him to have to beat guys out to EARN the starting spot. I don't want to draft Jones (as an example) and then not have anyone remotely capable of being better than him in week 1. I want a veteran that can show him the ropes, plus maybe Stidham to show him what it takes to be a rookie QB on a Belichick team. That gives the kid two people that have a head start on him who he has to outwork and outplay to get on the field, which will make him a better QB long term.
Hell, I want every player on this team working on their craft in the offseason. Even the ones who won't make the team, the more competition there is in different position groups, the better the cream that rises to the top.