Fastmail account recovery keeps an "evercookie" which is "first time account X successfully logged in from this device" which allows us to identify that you're using a device with a long history with the account when trying to recover your account after it was stolen. Obviously we don't want to re-authenticate somebody who first logged in yesterday, because that's probably the thief - but if your computer has been used successfully to log in for the past few years, then it's more likely that the recovery attempt is coming from you (obviously, that's still just one of many things we're checking for).
Do they really? evercookie generally has a specific definition, where the application attempts to persist that chunk of data in heavy-handed, abusive, malware-like ways and repopulating it on removal with the same token when possible; usually used in fingerprinting concepts - it isn't just a normal http cookie with the expiration date set years out.