Police are not required to know the technical attributes of their equipment. If you watched the video at the link, you would have noticed that the equipment he was showing WAS what police and fire-fighters use.
I can assure you that the mic he’s holding and talking to, in his garage with no ambient noise, is absolutely not what police handheld radio mics are in 2021.
The standard police handheld is a Motorola xts5000
Nothing like that dinosaur in your link.
As for the noise canceling, again, it takes place as the sounds are caught by the microphone, pass through the software and are filtered into electronic earmuffs/headsets.
Headsets that also have foam, or now fancy silicone gel pads, to conform to a persons head, hats and glasses to provide a seal that also blocks out ambient noise.
When electronic earmuffs cancel out a gunshot, it’s done y boo kit out noises at certain decibels. If you’re at a range and there lots of noise that doesn’t reach the decibel level you hear everything. Gun goes off and you hear nothing.
Try telling that to cops that work loud sporting events or concerts.