For what it is worth, the same approach works with the PMPro adapter — the membership side is identical from here.

Could you say more about how you measured the result? I want to try this but I am not sure what success would look like.

Tried this on a staging copy first and it behaved exactly as described. Confident enough to roll it to production now.

Thanks for writing this up. Bookmarking it — the kind of thing I will want to reference again in a month.