Bar soap is a problem according to everyone (as far as I know). Liquid soap is a machlokes. It also may depend how thin the liquid soap is. Some will only use it if it is watered down, and some will use it the regular way. There may be a difference between dishwashing detergent and the hand liquid soaps (which are thicker).
It is possible that there are some people who would only use the dishwashing detergent (on their hands) and not the liquid hand soap, and that some will use either one, but I’m not sure.
Definitely an LOR question. And when you ask, make sure to mention that hygiene is important to you!