I have little snitch running on my mac. It reports unexpected outbound network connections and on starting EDCE there are connections to a unity domain and to killerbee.

What is going on? My inclination is to block these.

it pops up an update on top right corner of game, letting you know of software updates or other events.

The unity domain is probably a license check.  I was not aware (and not surprised) they do this.  The killebee one is for "updates" as mentioned above. 

Blocking this should not have a negative effect.

if you play MP or FShare there will be a couple of others, both to killerbee