I would like to request you to check one more thing, please...
Try to play any Bluray disc with DTS-HDMA audio and verify if your AVR detects it appropriately without down-converting it to DTS Core.
As members claim it supports DTS-HDMA fully, so it should !!
I have the same product but it's a European model 3200KE (bought from Amazon.de)
Few members here have claimed that 3200KE model doesn't support DTS-HDMA, but my HT does detect DTS-HDMA (without down-converting) when I select the Audio setting as 'Bitstream'.
As per my observation, my BD player 3200KE seems to support DTS-HDMA, but others say it doesn't !!
Not sure, could an HT system fake the audio codec display ????
Probably I need to test it with another HT or AVR !!