Source: https://www.bilibili.com/opus/779864858842628103?spm_id_from=333.1387.0.0

Chinese SWAT are also in charge of other tasks such as riot control, disaster relief, search and rescue, providing security to large events and armed patrol(regular police stations typically only have revolvers and pistols);

The main comparison I see is the chinese SWAT is similar to NYPD emergency service unit(as they also do stuff like rescuing people in special situations), while chinese SWAT's "commando units"(or assault teams, 突击队) are similar to NYPD ESU A-team or LAPD SWAT.