Just to update:
Dropped it back in on Monday the 7th for the assessor to check. (Now I'm driving around in a Kluger, which is ok, better than the Outlander I had last time. $120/day for normal rental.))
They sent it to a mechanic who, they said, made some adjustments to center the axle, but couldn't get it all the way back. Assessor told them to send it to another mechanic. They told me they'd probably send it over on Tuesday the 15th when I called to find out what was happening.
Called again yesterday to see what the diagnosis was... It will go over on the 21st to be checked as that's the first opening the mechanic has. Then, assuming this one can work on it, (apparently they are a local 4wd specialist), they told me it's a 7-10 day lead time waiting for the axle shaft!
Looks like I'm stuck with the rental for another 3 weeks at least.
At least the insurance is paying for it!