The slower response time of the latest version of AC assuredly has nothing to do with SQL Server 2012. SQL Server 2012 has several enhancements to its query optimizer that make it faster than SQL Server 2005. The latest results of SQL Server performance benchmarks put SQL Server 2005 at 1,263,599 transactions per minute at a cost of .51 cents per transaction. That's running on a $642,000 HP Proliant server executing queries far more complex than Amazing Charts will ever ask for. So even if Microsoft screwed things up royally in SQL 2012 making it a quarter slower than SQL 2005, that still would not account for the slower response of Amazing Charts.
The most likely cause of poor response time in Amazing Charts is poor coding and poor database implementation (new tables not properly indexed or statistics not regenerated after upgrade, etc.). You can have the fastest sports car in the world but you aren't going anywhere without good tires.
JamesNT