I've seen those public dispensers in gas station bathrooms & places where the bottoms, where the soap comes out gets all gunked up and MOLDY.

So, the sanitized soap passes though the moldy opening and the mold can possibly be passed onto the soap.
If Disney housekeeping keeps those dispensers clean, fine. But, if they use the same rags that they used around toilets and other non-sanitary places to wipe off the bottom nozzles, they might not end up very clean.
I wonder though, if these dispensers are going to cost Disney more in soap in the long run. We've seen "tips" by people who split one apple 5 ways for 5 people to have a snack. And then there's the Ramein noodles and whatnot cooked in the coffee pots. I can foresee some people draining all the shampoo & conditioner out of the dispensers to take home.