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@Anonymous 

I recently found out that my spouse's primary coverage was not a HDHP (i.e. she had a primary non-HDHP and a secondary HDHP).

 

Would that mean that the answer to 'What type of HDHP did my spouse have on December 1, 2019?' is now None? I base this on the fact that she would not be an eligible individual based on her plan (and thus Rules for married people in Pub 696 wouldn't apply which states 'The rules for married people apply only if both
spouses are eligible individuals').

Or is she still eligible because she's covered by my plan (even if as a secondary) which would then mean the answer would be None.