As far as Emsisoft is concerned, their BB can be called heuristics. No, Emsisoft doesn't have the heuristics similar to that of Kaspersky, Avast, ESET, etc., but for the Emsisoft team, BB is just a large scale heuristics. It all really depends on how one defines heuristics.
I need to find the thread to support what I said.
As for Avira, if indeed that it has a trimmed version of the cloud tech, then it's just bad. You would always want the Free version to shine, so that it gives the users the incentive to buy the Pro version. But I don't really think that they have trimmed down the Free version's cloud functionality.
Edit: For Emsisoft,
IDS, Behavior blocker, Heuristic, what is the difference?
My explanation might not be accurate, so an explanation straight from the horse's mouth is good.
"It is a common misconception that Emsisoft’s Behavior Blocker uses conventional heuristics. Heuristics checks files on your hard-drive for malicious routines and then classifies a file as dangerous or safe based on a calculation of probability. Emsisoft’s Behavior Blocker works on a higher level though, and directly monitors how active programs behave on your system." -
Efficient protection against new malware: Emsisoft’s Behavior Blocker