I hated so much how Mercurial dealt with short-lived branches, that after seeing how Git did it, I've never looked back. I also remember how some people told me to use the quilt or something extension to manage patches, but it was too complicated for me.
What does short lives branches even mean? Make a branch, close it, or merge it.
It make a lot of sense if you think of repo history as properly immutable, and dispose of the notion that brach is a first class object in the git sense. Bookmakers just pin a checkin hash to a name, and you can have many heads in an hg branch.