My amateur but not entirely clueless opinion is there was never any chance of stopping Jeffries from becoming Speaker, but there was/is some chance of stopping Schumer.
That isn't a comment on who deserves it more/less, just on the dynamics.
As for the merits, there is one simple case against Chuck which isn't a comment on his skills or even his age: he's been Leader for 10 years and maybe that's enough?