So, I’ve always wondered what would happen.
When I click update on an add-on, the little doo-dad spins and away we go. What I’m unsure of is whether or not I need to wait to do other things while the add-on is updating.
If I do click update, and then re-load the HA interface, the add-on appears to still need to be updated, so my inclination is to click update again because it seems that the update hasn’t happened, but I have a hunch that the update is actually happening. There’s no indication that an update is in progress anymore.