I think this is a fair topic. I think Stroman makes sense for the following reasons:
1. This link suggests that there will be some sort of budget, which will preclude spending on top targets in FA.
2. The system still has talent, but is shallow. When you look at it, of the top 10 there will be a lot of graduations, leaving scant reserves from which to trade to improve the 26 man roster. [Seriously, it'll be Kopech, a handful of former prep SPs, and Adolfo atop the prospect lists, once Vaughn arrives here next season.]
3. This guy sucked this year. I mean, he really, really really sucked. Seriously, he sucked out loud at baseball this season. He had the worst BB/9 among SPs in MLB. In a competitive window, this team can't count on him, until he can get his shit sorted. He needs to start 2021 in Charlotte or Schaumburg, and fvkcing get his BB/9 down to a level that won't make you dry heave.
4. This guy is yet another SP who is on his way to bustville. Maybe he's a reason for Coop no longer being here, but he sucked even more than the guy in #3.
5. Over 162, this team will not even make it to the post season if it attempts to start the season with the guys under #3  in the starting rotation. Back in 2000, the SOX failed to make the postseason, due to an unreliable #5 SP. As currently comprised [Giolito-Keuchel-Dunning-Cease-Lopez], there's no prayer of making the postseason in a regular 162 game grind. Even if the SOX added Bauer, he can't pitch 3 times a week, and you'd have to hold your heaves for Cease and Lopez starts.
6. The payroll will require creativity to maintain future flexibility, when you consider that RF and a closer and an additional BP arm or two are needs, in addition to the gaping holes in the starting rotation. This is particularly important, if this team wants to retain the ability to add throughout the competitive window, and not just blow the entire payroll load in one offseason.
7. This list of FA SPs shows one or two top-end options, and then a cavalcade of geezing geezers, and other vets with their share of questions. If they propose Odorizzi having a market value of $17MM, I'd much rather have Stroman at ~half of that or less, PLUS Q at ~half of that as well.
8. He's had a strong GB rate rate over the course of his career, which could help him provide a good amount of IP, and lessen the burden on the BP over 162.
TL/DR: Bauer can help in a playoff series, but he can't pitch more than once every five days. Just to be able to GET TO the playoffs, and to enable Cease re-find the strike zone, I'd rather sign 2 veteran SPs [Stroman/Q], and only have to gamble on Dunning as the #5.