???
I checked my eLicenser CC version a few seconds before downloading and installing the HSSE 3.1.0 update. It was 6.10.6.2222. Installed the update and it was 6.10.6.2221 until I downloaded v.2223. Weird for sure.
But, you say that v 6.10.5.1209 was included with the update installer. So that’s even worse. Why wouldn’t it include the latest version? Again… lame. Actually… lamer (if that’s a word). 
Regards 