The solution is 3D printer, plus 4 or 5 6x6x4.3mm tactile micro-switches (e.g. from OMRON B3F series).
https://www.thingiverse.com/thing:3452944
https://www.thingiverse.com/thing:3641494
Commercial ready to use HAT" only these (expensive) in Digikey, Mouser, Aircraft Spruce (Apem, Otto...)
The less expensive of these is this model from Apem, identical to CH "China" HAT (trim).
https://www.digikey.com/product-detail/en/apem-inc/500-526/679-2289-ND/2063280An this from Aircraft Spruce - was used in Thrustmaster FCS sticks of 90's
https://www.aircraftspruce.com/catalog/elpages/infinitygripaccess5.phpBTW - Rel4y has "drop in" pot replacement with contactless sensor (KMZ41, similar to GVL224 MagREZ) for CH gimbal (at end of topic).
https://forums.eagle.ru/showthread.php?t=220916