In article ,
Mark HARDAKER wrote:

Is it reasonable to assume that the nodes of the two orbits would
also precess/change over the millennia, so that at some time in
the future, the nodes would occur on the same day?

It's very reasonable to assume that. As a matter of fact, the node
will coincide in about 10,000 years. However, then there won't be
any double transit. The next actual double transit will occur in
about 67,000 years, on 69,163 July 26 Dynamical Time (J Meeus & A
Vitagliano, Journal of the British Astronomical Association 114, 3,
2004).

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