Well, it benefits more than just the Sox, but one other aspect of the schedule change beyond playing more games vs non AL East teams, but out of all the AL East teams, the Sox had the worst inter-division record, so in that sense, if you believe in a carry over effect, the schedule change should help us more than any other AL East team, and maybe any team in MLB.
vs AL East
26-50 BOS
34-42 BAL
40-36 TBR
43-33 TOR
47-29 NYY
We play 24 less games vs AL East. The 2022 record would indicate we'd go 8-16 in those 24 games. The Sox went 52-34 in games vs non AL East teams in 2022. Using that 60% win rate, we'd have gone 14-10 in those "24 games, instead of 8-16. That's 6 more wins just on the schedule change based on this formula, which of course is not a good projection tool.\
My guess is, the schedule change may help us win 3-5 more games and maybe other AL East teams 2-4 more.