TDP was sold by Changing World Technologies as a tech that turns any waste into oil by reacting it with water. A cursory inspection reveals that this cannot work out chemically, and it didn't in practice.
The press releases contained scarce details, but did drop a few hints at what's actually going on: Stuff that can hydrolyse, will hydrolyse. This turns fat into fatty acids and glycerol, and protein into amino acids. The second stage decarboxylated the organic acids. In practice, that means fats became "crude oil", proteins became mixtures of amino compounds, and everything else pretty much remained unchanged. They even made up the bullshit term "fertilizer grade amino acids" to hide the fact that this byproduct was worthless and simply dumped. I suspect, the complaints about smell were caused by the amines in the waste stream.
In summary, TDP never worked, and it was oversold. It's not coming back.
MSO is different. The conditions in a molten carbonate are much harsher, so everything breaks down to simple molecules. Dissolved oxygen radicals can oxidize everything, including carbon black. There is no question whether MSO works, it has been positively evaluated for the destruction of very difficult wastes, including explosives and chlorinated pesticides. The question is whether it can be economical for general mixed wastes.
On the other hand my understanding is that MSO is used today actively to deal with e.g. chemical weapons disposal etc.
I'm not qualified to give a detailed answer.
MSO happens at much higher temperatures than TDP but doesn't require pressurization, whereas TPD is essentially a pressure cooker.