I think Iran capturing them would have been a win and a contributing factor toward the next step in the escalation trap, but it wouldn't have actually gained them leverage they don't already have. The main thing it would get them would be drawing in a slightly more disastrous rescue operation. Maybe they'd add a couple additional aircraft or a few more dead to their tally.

The US rescuing them is also a win that only buys them a single media cycle worth of positive news. This story will be replaced by Iran freely bombing more critical oil infrastructure by Tuesday. Losing two aircraft mutes the success, especially now that it seems like the heroic firefight didn't actually occur. They saved a weapons systems officer who can't do his job while gaining nothing material or strategic beyond that. Any goodwill it bought the administration with the military is offset by the amount of risk they were placed at in a war they're still losing the day after, and it's those things which drive the mutiny risk.

Certified Operation Eagle Claw Moment. Now Iran knows to arm every local police department and militia with MANPADs for the next plane they shoot down just as easily.