Hi Joshua,
Haven't heard this issue brought up before.
You can only get the full installer from from the LWS or hard copy install media. The media provides an MSI and EXE. I haven't personally looked at LWS, but you could be right.
I haven't tried this myself, but can you extract an MSI from the EXE using this method?: http://www.adobe.com/devnet-docs/acrobatetk/tools/AdminGuide/basics.ht ml#end-user-installers.
If so, I'll make sure that info gets in the doc.
thanks,
Ben