I didn't see a direct answer to my question there, but he did write
TDT considers the current possible world, as explicitly depending on agent's decisions. As a result, any site where agent's decision influences the current possible world, in the past of in the future, generates a collection of counterfactual worlds that TDT agent also takes into account. In particular, on Newcomb's problem, agent's decision is located in the past, and opens both possibilities for consideration. In Newcomb's with transparent boxes, the agent should update on the state of the second box and exclude the possibility of its alternative state, but because its decision site is still located in the past, this decision site allows to regenerate the alternative with the different state of the second box, and so TDT agent acts correctly on transparent Newcomb's.
So maybe TDT can regenerate the alternative where the coin landed heads and Omega is considering whether to pay you the $10000.
I'd prefer a simple yes/no, though.
On one hand, this old article said TDT doesn't pay. On the other hand, I imagine TDT not paying would be a slam-dunk argument for favoring UDT, which pays, and I haven't seen people make that argument. So I'm confused here. Thanks.
Edit: this wiki page explains all the jargon