I need to purchase another GPU board that really support OpenCL2.0.
It would be appreciated if you clarify which model of Radeon R7 200 series supports OpenCL2.0 at least in this thread.
Thank you for your support.
I am actively pursuing a definitive answer. Given that this is a long holiday weekend in many places, a reply may be delayed a bit.
I have definitely confirmed that the Radeon R7 240 does NOT support OpenCL 2.0.
OpenCL 2.0 requires GCN 1.1. The R7 260 is GCN 1.1
The wikipedia page linked below has details of which GCN architecture is present on which board. Go to the page and search for "R7 240", and you'll find the line entry for that board.
I will continue to work to get the inaccurate information fixed on the support page.