You can check that on https://europeangodatabase.eu/EGD/ and pick some players at random.
They have a nice date/rank graph and all those graphs start with an almost vertical growth which slows down and flattens. Some players play less often and get weaker but that's not the point.
I have no idea if it applies to chess too, possibly with different parameters, but why not? They are both games played with the brain by humans.