I think that it is not necessarily the width of the new tires, but the profile. Them's some slim sidewalls. As a turn is initiated, the wheels turn and the tires follow. The delay between the two turning is slight and partially determined by the amount of sidewall there is to flex. Additionally, the sidewall provides some bump absorption and road conformance that is reduced along with the sidewall.
Then there is undoubtedly an increase in unsprung weight affecting the ability of the shock to stop motion.
All these combined - quicker steering response, less tire bump absorption, less road conformance, slower rebound - should be noticeable.
Think about the ride quality if there were only one inch of sidewall, then back that off some.