We'll need this for the upcoming change to add an upper bound on drain lifetime.

Since we're doing a cluster replacement anyway for closing idle
drains, we might as well get this record change in while we're at it
so the next upgrade can be a live one.
Re-use existing timestamp.
Missed adding this to the HTTP side.
Revert "WIP live-upgrade for State record's idle_tref."

This reverts commit 28ed9e8d4a89745e03db59c11c50116342697bde.
Merge branch 'connect-time-field' into v70.1