Somewhat. Allsides has a whole system[1] as to how they assign bias which is fairly robust, in my opinion. You're not betting on what the moderator at allsides think a source bias is, you're betting on what all of the patrons at allsides think the source bias is which is a little better.
But you are right in that no one can "objectively" measure partisanship since there is no such thing.
But you are right in that no one can "objectively" measure partisanship since there is no such thing.
[1] https://www.allsides.com/media-bias/media-bias-rating-method...