I guess fees will wander up and down depending on system load rather than real world value - but maybe you're right. That said, all wallets sync exchange rates automatically already.

In some Star Trek future, perhaps we would want Bitcoin to be independent of other value units. But I'm not convinced such a world will ever exist. Arguably, a stable currency would slowly become worth more over time in line with economic growth. But then for stable prices you would need something like a fake currency that was "backed by" (really: represented by) a basket of goods. Otherwise over time your rent would go up in real terms, for good real reason.