Brittle is what happens when you haven't logged on to the machine in 60 days, trust with AD is broken, TPM has a glitch and wipes the in device key and forces you into recovery... or god forbid you service the laptop and now you have to enter recovery mode.
Then you're in a nightmare, trying to give someone a super long passphrase over the phone is a not-too-uncommon occurance.
That's assuming you have a good policy for storing the recovery keys. Too loose and they're handed out to everyone, sort of defeating the purpose: too strict and you need the IT department (or specific members), and its still predicated on the notion that you have a policy for it... Given that Admins are a dying breed... I don't think this is workable.
If you compare with Filevault on MacOS: which tracks the credentials of the logged in user; there's no "issue" if the device loses trust because ultimately you always use the real unlock key: not something cached in a "secure storage".