Well ... every compressor does something that no other compressor does, that's the nature of the beast. The question is: do you need it? If you are only after "technical" compressors, just one of the simple ones that come with your DAW will do. But of "character compressors" I can never get enough. I have dozens of compressors of which I only use three or four on a regular basis, but I do use all of the others every now and then. When a song calls for it I want to have the right tool at hands (the same holds for reverbs).
As for the TDR compressor: First of all it is a feedback compressor (like the 1176). It makes a softer/smoother sound and reacts more musically than "standard compressors" IMO.
Regards,
Steffen