No. It performs exactly the same. It outputs as much fps as it gets at 100% ability. The processor isn't slowed down due to a weaker cpu, it runs the same clock speeds, same vram speeds, same usage.
If you could run the 100 yard dash in 10 seconds flat, and run the 200 yard dash in 20 seconds flat, your performance doesn't change even though you ran twice as far. Or if you ran 50 yards in 5 seconds your performance didn't change just because you covered the distance in half the time. It's still a 100% effort.
Underperforming and under utilized are 2 somewhat different concepts.
The 3600 can pre-render more frames than the FX 8350, but that's not going to change the ability of the 2060S, not going to make it slower with the weaker cpu, it'll only change how hard it has to work to get all those frames rendered.