Yes, it is reasonable to analyze normal people's voting in terms of TDT, at least to some extent. If you were going to vote anyways, you can use TDT to justify it.

But if you explicitly use TDT to decide to vote or to decide to put more effort into choosing your vote, you are not normal and your vote becomes less correlated with the large block of normal people. I was very serious about the economist example. Many economists don't vote for CDT reasons. If an economist uses TDT to reject that line of argument, that doesn't cause other economists to vote. Similarly, most people can't use TDT to decide to invest in more informed vote.

If you were swayed against voting only by arguments found in the same place you found TDT, it is reasonable to let them cancel out and consider your vote entangled with the votes of people who have heard of neither.