What's the brand and model of your AVR or AV processor? I can't find it on your profile.
Mine plays back DTS-HD with the Neural X upmixing when the sample rate is 48KHz (common for movies and some audio discs). When the sample rate is 96KHz, it plays back the DTS-HD as is.
If you have a Denon/Marantz receiver, you will find detailed information about these modes in the manual in this section: "Types of input signals, and corresponding sound modes"
https://manuals.marantz.com/AV10/NA/EN/GFNFSYwdnzswtk.php
DTS Surround
This mode can be selected when playing sources recorded in DTS.
DTS ES Dscrt6.1∗1
This mode is suitable for playing discs recorded in DTS-ES.
The surround back channel added using the discrete method is played as an independent channel.
Since all channels are independent, the 360-degree spacial expressiveness and sound localization are enhanced.
DTS ES Mtrx6.1∗1
This mode is suitable for playing discs recorded in DTS-ES.
The surround back channel added to the surround-left and surround-right channels by a matrix encoder at software recording time is decoded by this unit’s matrix decoder and played from each channel (surround left, surround right, surround back).
DTS 96/24
This mode can be selected when playing sources recorded in DTS 96/24.
DTS-HD
This mode can be selected when playing sources recorded in DTS-HD.
DTS Express
This mode can be selected when playing sources recorded in DTS Express.
DTS:X
This mode can be selected when playing back content encoded with DTS:X.
It decodes DTS:X content and its positioning data in real time and outputs audio from the appropriate speakers, creating natural audio images regardless of the speaker layout. Use height speakers to realize a three-dimensional sound field.
IMAX DTS
This mode is automatically activated when playing back IMAX Enhanced content featuring a DTS bitstream.
link
Also this mode is selectable when “Surround Parameter” - “IMAX” is set to “On” in the menu and a 48 kHz sampling frequency DTS 5.1 channel signal is being input.
When “Speaker Config.” - “Surr. Back” is set to “2 spkrs”, “Speaker Config.” - “Center” is set to “Large” or “Small”, and sound mode is set to “IMAX DTS”, surround audio is output from the surround back speaker. Audio is not output from the surround speaker.
The bass information of speakers are not redirected to the subwoofer, but getting a better bass effect from front and center speakers by special algorithm of IMAX when the “Front” and “Center” are set to “Small”.
IMAX DTS:X
This mode is automatically activated when playing back IMAX Enhanced content featuring a DTS:X bitstream.
link
The bass information of speakers are not redirected to the subwoofer, but getting a better bass effect from front and center speakers by special algorithm of IMAX when the “Front” and “Center” are set to “Small”.
DTS Neural:X
This mode uses DTS Neural:X Upmixer to extend various sources to natural and realistic multi channels for playback.
Use height speakers such as front height speakers to realize a three-dimensional sound field.
DTS Virtual:X∗2∗3
This mode uses DTS Virtual:X with virtual height and virtual surround processing to realize a three-dimensional sound field when the height speakers are not used.