Don’t second guess yourself, unless you actually doubt your knowledge!
IMO, your dates are likely correct. In my area, a Condenser typically operates for 12-15 years.
The 2020 date means the original condenser lasted 13 years before going belly-up… right on schedule!
Verified with the HVAC installing that indeed the air handler is a Carrier apartment unit and is only 4 years old. Never saw a Carrier use the 1 and 2nd digit for the age before.