It's not true that Rust rejects "the notion of a stable ABI". Rust rejects the C++ solution of freeze everything and hope because it's a disaster, it's less stable than some customers hoped and yet it's frozen in practice so it disappoints others. Rust says an ABI should be a promise by a developer, the way its existing C ABI is, that you can explicitly make or not make.

Rust is interested in having a properly thought out ABI that's nicer than the C ABI which it supports today. It'd be nice to have say, ABI for slices for example. But "freeze everything and hope" isn't that, it means every user of your language into the unforeseeable future has to pay for every mistake made by the language designers, and that's already a sizeable price for C++ to pay, "ABI: Now or never" spells some of that out and we don't want to join them.