Thanks for the quick answer. So... the proper procedure would then be
- Backup laptop using "Erase ... then copy"
- Boot off backup
- Turn on FileVault
- Shut down
- Boot off laptop
- Check that backup works without hassle
This is indeed much simpler.
I'm posting this so that there is a place I'll find it the next time I get confused. Happens all the time.
Thanks again.