You probably won't believe it but I actually considered doing something like this!
The setup: I have an old Pi 3a with Alpine Linux set up; it is connected to a AR9271 USB Wi-Fi dongle running in active-monitor mode. A cheap power bank is used to, well, power the entire thing. Plus, a small 2.4 GHz antenna.
The Pi runs a custom Go app which sniffs handshakes, performs deauth and PMKID attacks, and also tries to bruteforce WPA2 (with a small password list). It also records everything and allows me to upload captured frames to the special-purpose dissector.
Finally, all of this gets put into a small bag and we're off to, uh, "explore" the neighborhood.
I wanted to use the cat to automate the exploration, and it almost worked, except there's an issue with the powering: Pi + dongle eat too much power, and my power bank is heavy and hazardous, so I decided against putting it in a cat "harness". The cat itself can easily carry the board and the dongle, but having to carry a power bank would be too much for the cat.
The second cat-related issue is that people do not generally trust a cat with a 2.4 GHz antenna poking out of its harness, especially if some wiring is visible, and I didn't want to bring negative "publicity" to the cat...
So uh, yeah, the idea was sound on paper, but cat-ifying the Wi-Fi setup had to be shelved, unfortunately.