> Regular expressions are, indeed, tricky if you are not used to them.
I think I am used to them. I'd noted before that they use POSIX Extended REs but when I tried to find that info again in their help system a few minutes ago I was surprised not to be able to. Searching in 'Help' for regex produced only 4 hits, all Sieve-related. See:
https://www.fastmail.com/help/search/?q=regex
Also, if searching the Users & Aliases page did allow regex one might expect \. to find a literal dot in an alias value, and it does not seem to.
If on the other hand their normal message-search logic is in use, one would expect a value enclosed in quotes to work, and it doesn't.
However it now works, it is much less useful than a filtered display where you're only shown those aliases whose values contain the literal characters you type in the search box.