Functional differences between Avaya and Asterisk (Noble and Vicidial) are primarily in the underlying packages.
AMD in Asterisk is substandard (look it up on this forum) but can be replaced by Sangoma CPD for much improved accuracy.
Call Quality is a basic difference as Avaya and Dialogic have unquestionable quality whereas Asterisk CAN be excellent, if you tweak it.
Data integrity is excellent on a rock-solid windows MSSQL server, but believe it or not they DO have an occasional bug (some of which are well-known and documented and have resulted in refunds of fees when found, I have some experience there). MySQL is a little LESS reliable from a "we never crash" standpoint. Do not risk losing power on a MySQL system. Ensure excellent backups. Learn how to repair MySQL tables. Get a spare box and "flip the switch" a few times with queries running and practice data restoration. MySQL is not actually "worse" than MSSQL, but the database engine in use to allow all this speed is MYISAM which is NOT transaction-safe and can be harmed easily, but is the only engine capable of the speed required by VICIdial. So it's a trade-off.
Beyond that there is the interactive functionality of the system itself, in which VICIdial stands up to any system on the market, paid or Free, proprietary or Open Source.
So: if you want to tweak to prepare for a launch, look into AMD and when you realize that it simply cannot be tweaked to a superior performance level, look at CPD. If you are NOT using AMD, congratulations!
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After that, it's about the quality of the calls themselves. This will depend on the protocol, codec, and/or hardware involved and CAN be tweaked within an inch of its life to get the same quality level as Avaya. Especially if you use Sangoma or Digium hardware which will essentially turn this VICIdial system into a box very similar to your prior proprietary systems ... except with the added power of EXTREME flexibility.