I'm not sure what the "SA" part means but my phone says it's on 5g right now and has done most of the time for a couple of years now.
5G SA means real 5G. 5G NSA means 4G over 5G NR.
They created an option to use just the 5G radio modem parts with 4G tower equipment to run them in the "Non-StandAlone" mode, so that telcos can start deploying 5G before even it matures. And the modem parts and their specs are called "5G New Radio", which is one of names of all time.
SA means standalone meaning real 5G.
NSA is non stand alone meaning basically 4G with some 5G backwards compatible improvements.
Just because your phone shows 5G doesn't mean it's connected to a 5G station. It also can only be a signaled flag from a 4G station.
The 5G standard is a bit of a mess. In the US we heavily rolled out 5G NSA, which means you still have a 4G network core with both 4G and 5G radios at the edge. You get a chunk of the performance benefits without having to replace the network core first.
This usually has similar (in practice) performance characteristics to LTE Advanced.
5G SA is an actual, end to end 5G network. The two biggest wins here for an end user are reduced latency (a big focus in 5G) and reduced power usage (the phone doesn’t need a simultaneous 4G connection).