Download and Update to Beta 4 worked perfectly, first time, for me ... 
Just to review the bidding: the update to Elemental: Fallen Enchantress'es (E:FE) Beta 4 was first available on Thursday, August 16. I had competing issues (and other games!) to deal with, for the last several days, so I was not able to install the E:FE Beta 4 until today (Wednesday, August 22).
However, I am happy to say that my update, install, and patch process went perfectly smoothly, at this late date. (I know that several folks had problems, for the first day or two: but I am guessing that they are mostly corrected by now. Caveat: unfortunately, no one can guarantee that updates and downloads will always work perfectly, for everyone, all the time ... However, I believe that things are generally looking good now.)
More specifically, I used the Stardock Store site for my update. I used the Beta Update File button (not the complete install). Via my somewhat slow InterNet, I completed the download (of the roughly 350 Mbytes file) in 11 minutes and 30 seconds. (This update is identifed as version 0.950.058.) After beginning to Run the file, the Patching process took perhaps another 6-7 minutes on my system. When I got the patch completion message, I exited to my desktop, and directly entered the game, as normal. This all went just about as smoothly/easily as it could -- I am a happy camper! 
Here's hoping that the gods-of-computer-downloads smile, equally, on anyone who (being even slower than me) has to do their update to the Beta 4, any time hereafter ... Good Luck !
