AFAICT, this issue only comes up if you form the quotient of a proposition by a relation. But there is no point in doing that (all the proofs of a proposition are already equal!) so it's not an issue in practice and it wouldn't be difficult to fix.
However, Lean's SR is broken in other ways which do show up in practice: definitional proof irrelevance is incompatible with Lean's computation rule for Acc. That one is much harder to fix.
However, Lean's SR is broken in other ways which do show up in practice: definitional proof irrelevance is incompatible with Lean's computation rule for Acc. That one is much harder to fix.