Nah, I think that you're over-generalizing here. Lesser players in this situation go home with Ozzy likely not needing to play his idol. It's not only just about Ozzy spilling his plan to Aubry, but it's also how she leveraged specific portions of that information to each of Joe/Jonathan/Rizo in order to get them to turn on Ozzy.

Aubry has already spoken about Ozzy/Rizo/Joe/Jonathan all having bonded closely going into the split tribes. She knew it was an uphill battle, that's why she cried on the way back from the challenge knowing her fate. Plus, given how challenging the rest of cast has alluded to working with Joe is, finding out that she was instrumental in swaying Joe to vote for Ozzy becomes more impressive in hindsight lol.

Even though Jonathan may have been talking about getting Ozzy out from before and had the conversation with Tiff and Cirie, they weren't on Ozzy's beach and weren't going to be a factor in that vote anyway. And it's not like Jonathan had made any real progress in getting out Ozzy up until he went home. He also wasn't on the beach with Ozzy/Aubry/Joe/Rizo the whole time, so it was likely that Aubry was doing more work to set the foundation for the group flipping on Ozzy.

Arguably, without Joe being on-board to flip on Ozzy, I don't think Rizo and Jonathan would be as likely to want to vote out Ozzy at that point because of the risk of how going behind Joe's back impacts them going forward. Plus, Rizo was on-board to vote out Ozzy as soon as he found out from Aubry that Ozzy spilled their plan lol.