Would a turn order opposite the disprove order affect the strategy or gameplay in Clue?
It makes a subtle difference, in that, to prove you wrong, they have to reveal a card in your proposed solution.

If you (Ay) say Col M in the Kitchen with the Pipe, and the next player (Bee) has Col M, the one after (See) has Kitchen and Pipe, you don't find out that See has kitchen or pipe; you only know that Bee has the Col M card.

To find out if Kitchen and Pipe are out there, you need to use a guy that YOU don't have, and Bee doesn't have, so that See has to reveal either kitchen OR pipe. 


Also note, in the above example, See knows which card was revealed to Ay, because he has the other two. He can now mark it off. But going the other way, Bee doesn't know which card was revealed to Ay. The reverse can happen in other ways, too.


If you go with first to reveal, you might find out about the pipe or kitchen AND Col M. 

Note that, if the first to disprove is the one who played last, you have reason to suspect that they don't have their called suggestion; it changes slightly the strategy in what you pick, because you know that they will get to examine you based upon what they have just tried to solve with.
If you go with simultaneous reveal, you guarantee learning more than what you're supposed to.

If you just change the turn order the other direction, you learn either the pipe or the kitchen, but not the Col.