On this site, the first two definitions of "neat" and "tidy" from Oxford Learner's Dictionary seem to mean the same thing: (for things and people) orderly and organized.

However, in Merriam Webster's Learner's dictionary, the word "clean" also appears in the first two definitions of "neat" and "tidy".

So, do "neat" and "tidy" also imply cleanliness in addition to order and organization?

Edit: This thread answered my question, but just for "tidy", saying that it doesn't necessarily mean "clean" in addition to orderly and organized. So, does it apply to the word "neat" as well?