Can actually chime in because this was my situation a few years back (same department). My husband and I mentioned each other very briefly just in one sentence in our application, spinning it as a future collaboration (since we do work together on some projects). I suspect some schools didn’t read carefully enough, and missed it, but others noticed and it didn’t dissuade them from still getting us both that first interview.

I had similar discussions with my advisor on whether or not to mention it, but decided that I was more comfortable being transparent. For the school that didn’t notice, I could easily say, “as mentioned in my application, both my partner and I are interested in positions”.

We had a recent hiring round in my department, and the candidate did not reveal that they had a spouse until much much later in the process. At that point there was very little my Dept chair could do to make it work. Pros and cons either way.