I mean, by using avast!, you're allowing them to keep it up to date with newest technologies. That's the whole point of even using antivirus. To have it always fully up to date and ready to combat new threats. Behavior Shield is an amazing tech with outstanding protection capability. Why wouldn't you want to have that? Aren't you using avast! to be protected?
As for your heart sinking, why? Wouldn't you want processes in Task manager to have meaningful name instead of "aswidsagenta.exe" ?