Add "degraded" to default mount options. Solved.
The annoying part of this is that if you do reboot the system, it will never end up responding to a ping, meaning you need to visit the host yourself. In practice it might even have other drives you could configure remotely to replace the broken device. I use md's hot spare support routinely: an extra drive is available, should any of the drives of the independent raids fail.
Granted, md also has decent good monitoring options with mdadm or just cat /proc/mdstat.
Not doing so is especially upsetting when you discover you forgot to flip the setting only when a drive fails with the machine in question several hours' drive away (standalone remote servers like that tend not to have console access).
I think 'refusing to boot' is probably the right default for a workstation, but on the whole I think I'd prefer that to be a default set by the workstation distro installer rather than the filesystem.
How often do people reboot their systems? IMO, if it's running (without going into "read-only filesystem" mode) with X disks, it should boot with the same X disks. Otherwise, it might be running fine for a long time, and it arbitrarily not coming back in case of a power failure (when otherwise it would be running fine) is an unnecessary trap.