Most certainly so! although the usual thing that non-canonical QG people (for example, LQG people Lubos loves some much) like to keep up is the question of background independence of the quantum gravity.

Also, the AdS background is somewhat special (admits closed timelike curves, but one is usually interested in universal covering space of AdS in AdS/CFT), but even to understand what happens in the vicinity of the AdS space is quite a problem (see for example Strominger’s and Carlip’s recent activity).

Cheers,
Dmitry.