Near the beginning of the post is a list of use cases for mutable aliasing. "Back-references", "doubly-linked lists", "delegates" - all cases where you have persistent objects with references to each other, i.e. a cyclic graph of objects.
Near the end, the post says: “The mutual isolation restriction will influence our programs' data to look like trees, similar to how Rust's borrow checker does.” In other words, the proposed approach can’t actually support those use cases!
The post continues by saying it improves on Rust’s borrow checker by having “much more relaxed rules around how we access those trees from the outside”. That may be true, and I’m legitimately looking forward to playing with this in Mojo. But it’s a much smaller improvement (while still coming at the cost of added complexity). It doesn’t really “get the best of both worlds” as the post says earlier.
To be fair, there may be ways to apply similar ideas to get some subset of use cases for cyclic object graphs to work. Some of verdagon’s past blog posts have proposed mechanisms that do something like that. But that would be a whole different thing from what’s being proposed here.