Q1: Is it possible that my TV can only passthrough Dolby Digital?
Q2: If the Wetek Core can passthrough DTS while directly connected to receiver, wouldn't it be able to do that when connected to TV instead? Because it can do that for Dolby Digital.
Heavy questions, and I actually don't know.
Generally, the TV shouldn't care about what kind of audio data are passed through to the receiver. So, my guess to Q1 is: No.
I belief Q2 is about two processing steps. Step one is decoding A/V material. Your Wetek Core does this step fine, and leads the DTS audio to SPDIF. Step two is merging A/V to create an HDMI stream. I think DTS has more data to merge, compared to Dolby Digital. So, Wetek Core maybe fails here due to less processing speed.