One significant advantage that the "Thud" has over the "Crud" is that the CRD has the SRMs leg-mounted. I've managed to get a TDR past a CRD's front arc on a number of occasions, and that leaves just arm and torso weapons for both 'Mechs. The TDR isn't quick enough to reach the rear arc, but a side arc spot limits the CRD to just the pair of MLs and MGs (which then rules out physicals), while the TDR can bring its full complement to bear with a twist: 1 LL, 3 ML (2 if you don't want to build heat that round), 1 SRM-2 (if you can deal with the heat), and either 2 MG or a punch, depending on the CRD's remaining armor.
Add Inferno ammo to the TDR's SRM rack, and it's a no-brainer.
Between that, the HS advantage, and the damage concentration potential of the LL, I'll go with the TDR in any terrain where the TDR can actually REACH the CRD.