Can we observe "choice overload" even when keeping the size of the choice set constant?

Yes, it is possible to observe "choice overload" even when keeping the size of the choice set constant. Choice overload can come from a variety of factors, such as the amount of information available, the complexity of the choices, and the amount of time it takes to make a decision. Keeping the size of the choice set constant does not change any of these factors, so it is possible that individuals may still experience choice overload despite having a constant number of options.