Technically true, but in a sense they did.
3rd inning: Angels were on 1st and second. If Rafaela’s throw is somewhere in the neighborhood of the cutoff man, the batter doesn’t take second, and maybe the guy who started on first also stays put. I think the runner who was on second scores anyway. Now I know you can’t assume the inning plays out the same way, but if it does, the Red Sox are not playing the infield in, the little bleeder that scored the 2nd and 3rd runs is at least a force play if not a DP and the one or two fly balls end the inning with 1 or possibly 2 runs scoring.
10th inning: If the bunt is turned into an out, the Angels have a man on 3rd. Again, assuming the inning plays out the way it did, Trout walks and the DP ends the inning with no runs scoring.
So no, technically the errors didn’t lead to unearned runs (although I would argue the 3rd Angel run could have been unearned) but 2 runs may have been avoided without the errors.