I definitely have seen this tendency when doing a steep turn. I don’t want to say that all light aircraft have this characteristic, but I have seen it.
I happened to read the other day that had a description about this phenomenon.....
Proficiency: Take it to the bank - AOPA
"Overbanking tendency. In a coordinated turn, the aircraft moves along a cone so that, in any given amount of time, the outer wing moves faster through the air than the inside wing. The differential velocity means that the outer wing, with more lift than the inside wing, tends to roll the aircraft more deeply into the turn—so it is necessary to hold aileron against the turn. The wider the wingspan, the more noticeable the overbanking tendency becomes, so glider pilots know it well."
There is a bit of a diagram in the article for explanation.