Peter (Waxing_Gibbous) dropped in at my place with his T-Rex and we had a daytime play with the mounts, doing a bit of solar viewing in a brief sunny period. (also had some stunning, crystal clear views of power line insulators through Peter's TSA120

)
They're both very classy mounts with fairly minimal differences in use so I'm aiming to outline the essential differences that a buyer might want to consider before purchasing.
T-Rex: easier fine tracking due to slow motion controls; the controls are light and effortless to turn for fine adjustment.
DM-6: large adjustments are smoother but high magnification tracking requires more effort due to lack of slow motion controls.
An OTA can be mounted on either side of the mount (just need to change encoder sense) allowing the main focuser on my C11 to be at the bottom of the OTA instead of the top.
If I was exclusively doing high mag planetary viewing I'd choose a driven equatorial over either of these mounts.
I imagine Peter will spot this thread and add his own (possibly different)impression of the two mounts.
I would like to stress that the differences between the mounts are fairly minimal and if you already owned one there's probably not enough incentive to change over to the other mount (IMHO).