Unless you assume some kind of psychological wrinkle, the odds are the same.
I think there's a mathematical case for winner breaks favoring the better player,
that doesn't have anything to do with momentum or other intangibles.
In winner breaks, one player will get more opportunities to break and run,
if he has any kind of skill edge. In other words, if he's a 10% favorite over the other guy,
he will get to attempt (not succeed but at least attempt) a break and run
10% more often than the other guy will.
Break and runs can't be treated with the same odds as normal games.
The are completely unaffected by the skill level of the seated player.
That player's skill level only matters in contested racks where both players
get to the table.
So first, you have your break and run odds (whatever those might be... 20%ish),
then after a failed break and run, the outcome of that game reverts to the usual 55-45 odds.
In alt. breaks, both players get an equal number of chances to break and run.
In winner breaks, the better players gets a handful of extra "free rolls" at break and run,
in addition to his 10% edge when both players come to the table to shoot.