Comparisons to Chess and Go are facile, but *switching to* ELO is likely to be a problem they don't have.
Also, I've beaten Bob Hamman and Sam Lev, with randoms as teammates. Once. In a 7 board match. Because we played really well, but mostly because our weak NT opening highlighted a weakness that allowed us to avoid the doomed slam. Even if I was as good at chess as I am at bridge, I'm never beating Carlsen, likely never drawing, not even once in 20 tries. Ratings are deterministic in chess in ways they are only after much larger timeframes in bridge.
But the big question is not against chess, it's against bughouse. Which is a "non-serious" event. Wonder why? Maybe because you have to rely on someone else?
I don't need ELO to know what my chances are against Kamil-Coren and the Egyptians over 60 boards, and neither do you. Didn't mean I didn't try when it happened (frankly, didn't mean I didn't deliberately enter the event to get that kind of a match). Didn't mean I didn't score more IMPs against them than the next two teams combined (there could easily be other reasons for this). I don't need ELO to know what my chances are against Bertrand-Marshall, or Marshall-Herrera, or Gartaganis-Gartaganis, either, even if none of you have ever heard of them (and vice versa for the "near-world-class" players in your area). And if I go to a new environment, it's really easy to learn the relative ranks quickly, even if there aren't awards up on the wall.
OTOH, I've said multiple times that I'd play with Life Novices that were nice every day of the week if the other option was Strong Obnoxious player. It's better for my temperament. It's also better for my game.
And
when was the last time you heard about a sandbagging bridge player? (The only times I can think of are people who deliberately *avoid playing* except when paid, to remain a "flight B pro" as long as possible)
As I said, what is the rating system for? Nobody who wants one has told me, but: if it's to find compatible skill partners, well there's a massive amount of stuff there that isn't "skill", whether it's partners for pickup, or (semi-)regular partnerhsips. If it's to set up competitive opponents, well, use the secret method and never tell anyone even that you have one (but also, there's the rest of the stuff. Players who won't play against Precision/Polish Club/players from a particular country with a bad reputation, players who will try to "constructively criticize" the opponents (even if they have no clue what the opponents are playing), ...) If it's a status symbol, well masterpoints work for that, at least to the level where they become monsterpoints and the only reasonable ranking is "what you've won" (at which point, what dimensionless number can be better?) If it's "I can show I'm better than you, so I can tell you what you should have done, and not the other way around", then go play chess. Your kind aren't needed in bridge.
And finally, the poker line applies, even if there isn't money to be had. If you can't spot the fish at the table within 5 boards - it's you.
When I go to sea, don't fear for me, Fear For The Storm -- Birdie and the Swansong (tSCoSI)