I guess you can say that romplers sound too damn digital or too clean, but when I used my Rhodes live, I always plugged it into my PA so I could EQ it to "get the mud out". It sounded great coming through a properly EQ'ed sound system with my JBL speakers. It sounded a lot CLEANER, it didn't wash out in the mix, and people could actually hear it.
A jazz player would be a lot pickier than anyone in a rock group. I've seen trios with Organ/Rhodes, a bass player and drums, and the Rhodes sounded really great in that context. Once it gets to loud, you won't hear it. The Rhodes is a very mellow instrument and it doesn't really cut through in rock groups like other keyboards.
Frankly, I'm willing to give up the mud, maintenance, as well as the weight on a Rhodes for a cleaner sound on my Motif ES. I've also heard Rhodes clones that I wouldn't think of using either, so it depends on what you're using and how you're using it. To each his own.
Mike T.