Thank you for your responses.
I can't believe this hasn't even crossed my mind till now and there seems to be such varying points of views on the subject, understandingly so.
I typically only wash the diapers once every 2-3 days so one washing during the cruise would likely suffice. I also admit that I too have the mindset that at the end of the cycle both the diapers and the washing machine the diapers are in will be clean. However, I do understand that some people are

at the idea of using a washing machine for their own clothes that has been previously used to wash fluffy bums.... But with that in mind I imagine that even without cloth diapering those machines see their fair share of bodily fluids...... Kinda makes the idea of waiting to do

at home more appealing.
Anyways, I'm going to go seek out that other thread and see if I can find any disney regulations regarding the subject. While there is a part of me that wants to respect the preferences of others in terms of what goes in the washers there's another part of me that just feels really uncomfortable with the idea of using disposables... Silly I know, after all I did use them with my eldest child... But now the thought of using them just feels icky