And? Prestige, unpopularity etc are for all intents and purposes "inherited" from the predecessor and associated with the activities of other dynasts-neither of which point towards his redepemption, and if the Dorset branch still "betrays" Edward, he's as good as dead.Except he is not his Uncle or Father. He is still competent here, so he could redeem himself. He won't take arms against the Yorks (or not officially at least) until he comes of age, so in around 1460.
And what redemption? If he's like otl Margaret he sits on his estates, plots, and is an overbearing figure when in power. None of which point towards regaining popularity.
And as above, if he's not executed in 1460-considering the deep hatred between the Yorks and Beauforts he likely is-he's executed in 1471. If he's not executed in 1471 he's executed in 1483.