If I understand correctly, the cops in 2020 are more a para-military force, not keepers of the peace as we know them today. It is not to serve and protect, more like to control and oppress. With the presence and threat of criminals bearing lethal arms being even greater than in Detroit, the police is not going to take any chances by using non-lethal force. If in doubt, bullet to the head. Better a dead unproven suspect than a dead cop. Check Dredd and Judge Dredd for reference.
News to me... I mean the Cyberpunk 2020 Cop Sourcebook is named Serve And Protect afterall....
This isn't to say cops aren't assholes... but they are still cops. Standard uniform patrol and beat cops still patrol the streets, tehy still give out parking tickets, they still make arrests. Hell they are even issued Ion Cuff's, which disrupt the cyber of a limb, making it pretty much a limp piece of metal.
Detective divisions still solve crimes...
Swat still handles most common events... hostage situations, raids, escalated situations..etc...
Then There is C-SWAT, which not only is a bigger badder version of swat trained to deal directly with cyber augmented threats... but they also deal with all areas of Cybernetic investigation... Think AD Police from Bubblegum Crisis.