I would go as far as to actually doubt it. TDT seems to be insufficiently well-specified for this to clearly follow one way or the other, and in some cases I expect that TDT should be designed so that it won't unconditionally cooperate with other TDTs, picking other mixed strategies on the Pareto frontier instead.

(I assume for me to discuss stuff about this post not engaging the solution to its riddles directly is fine; I haven't even read it yet.)