I like the bells on the Avedis more. The Avedis will also be a little lighter than the Regular A Crash Ride/Medium Thin CrashThe next crash I get will probably be an updated (since 2008?) A or the Avedis A, and probably 19 or 20" crash/ride.
It's a matter of being willing to pay a bit more for the Avedis to get that next level of complexity and richness, or a more simple but good sound from a regular A for less money. Both sound really good to me.