A lowlight reel of any player is a bad indicator of their skillset, just as I could post videos of Mike Trout missing a catch or striking out to make him look like a bad fielder or hitter. Advanced metrics show that he's an average defender in left with a strong arm, and most of the negatives came from 2019 where he was playing with a bad ankle, he was able to rebound in 2020.
At the risk making it sound like I'm Rosario's agent, I think he's #2 best option after Springer at RF. Pederson is a more well rounded player if he puts it together, but there's too much boom or bust risk, and he's more of a platoon than Rosario. If signing Rosario to a reasonable short term deal would allow the Sox to go after Bauer, or a Kluber/Quintana combo with two closer quality RPs without dealing from the farm, then I am all for it.