It's even worse when a coworker/housemate/other person has one. I swear that sound is not impeded by walls.
https://en.wikipedia.org/wiki/Cherry_(keyboards)
Look at the column "Clicky".
However, it is possible to make the sounds less severe by touching them lighter. And on the Razer device these are Cherry MX Black with silencer. There's Cherry MX Brown if you need a more silent switches. If it was my choice, I'd use Cherry MX Blue (or, well, Green, as it resembles the old IBM keyboard the best)...
Personally, the sound of keyboards doesn't bother me (though I wonder the effect on TEMPEST). I just get annoyed by sounds from mobile phones in general. Especially if it keeps occurring all the time while the user is using the phone. Pointless IMO. "Look at me, I'm popular." I find it rude when people cause noise in public (such as a restroom, or a train/bus), be it they're on the phone or having a phone which generates noise. The exception I got to that is children. I have compassion for children, tho its the parents who should solve the problem that isn't always practical.
I support you guys’ decision to getting screened for the spectrum. In the meanwhile, do check out the Wikipedia page for Misophonia.
I have a form of it, where I can’t eat around people because the “chewing sound” they make is absolutely rage inducing. Similarly, one of my friends has a form of it where the sound of someone cracking their knuckles enrages her just as similarly, and she will start bawling, not crying, bawling for a good while. Neighter of us have a reason (or memory thereof) to associate these sounds as triggers.
So, while I’m not a medical anything, I do suggest checking out that page, at least to quench your curiosity. For some added context, I do suffer from other auditory ailments, as well as ADHD. A link between misophonia and different mental sicknesses is suspected, however there is almost no research on this subject, leave alone one that’s looking for links. YMMV.
EDIT: typos; on mobile