I had an opinion on this since reading the thread's subject, but I was CAREFUL enough to read through entire thread before coming here for the $0.2 cents myself.
What OP is experiencing is not an AW-only related problem,
To illustrate,
My DD is coated with Pinnacle Black Label, and after 5-6 months of coating I saw the need to renew my coating because of what was looking 'embedded dirt' accumulated overtime.
I was not experiencing a deficit in beading or sheeting properties, it was just because the same 'cloudiness' that's subject in this thread.
I was regularly using Meguiar's Ultimate Quik Wax as a drying agent.
To get rid of cloudiness, I've done a non-abrasive polishing using Pinnacle Black Label Surface Cleansing Polish on a finishing pad.
The build-up was removed in ~3-4 passes per section, and the coating returned to it's clean state. The whole car was cleansed in less than an hour. That means this 'problem' also has an easy manner to be solved.
*If the vehicle in question is not coated, using a cleansing polish will remove not only the wax build up but also underlying paint protection, so after doing this you'll need to RE-APPLY your LSP.
However, for a non-coated vehicle, I'd use a polishing pad with the cleansing polish to get advantage of even more cleansing power. In my case I've used finishing pad just because I wasn't willing to abrade my coating in any manner.
In my opinion, using an abrasive such as M105 like suggested is overwhelming. No need to get that far just because of wax build up.
That said, after experiencing this build up some time ago, I've stopped using Meguiar's Quik Wax as drying agent, but that doesn't means product is bad, it's just because I was making a bad use of it. Now I use it sparingly, like it's intended to be used.
Using sparingly, I believe this problem will not be an issue, but regular use (like I was doing) will probably will end up in cloudiness in some time.
To notice, my car is a Metallic Black DD, which is great for showing cloudiness. Maybe I won't see it on a light color vehicle (but that doesn't means it won't happen).
The DG who answered the email was an honest person who I admire saying the truth about its own product. It may build up and cause cloudiness, but this is not just AW, it's mostly many spray Wax you may apply in excess (like Meg's UQW I've related above), and for an extended period of time.
I just don't like to see things going personal since we have the privilege here to complain about an issue and get answers directly from companies representatives.
I also see this people as imparcial regarding their products, they know it's advantages and disadvantages enough to come here and give an honest opinion around it.
Don't want to get any longer (since I also wanted to comment on layering which is a subject I research and test a lot!), but that's subject for another thread.
Looks like it's time for a cleansing polish procedure over your wax build up!
Hope that helps,
Kind Regards.