Window filter doesn't recognize second Firefox Profile

[glenreesor]

Mac: Mac Mini
macOS: Ventura 13.4.1
Hammerspoon: 0.9.100 (6815)

It looks like hs.window.filter doesn't recognize Firefox windows corresponding to a second Firefox user profile. This may be related to #3509 , however unlike that issue, the new Firefox window never gets recognized.

As with #3509, here is some test code:
init.txt

And a video demonstrating the issue. The red circles correspond to clicks (and note the behavior of clicking a different window to get the first Firefox window recognized as described in #3509). I can get the first firefox window to be recognized, but the second one with a different Firefox user profile does not get recognized.

Second.Firefox.Profile.Not.Recognized.mp4