Well of course half of the months would be 30 day months whereas the other half would be 29 days. I cringe when I see someone use one of those Universal negative such as when you say "None of them", because all it takes is one verse to prove that wrong. It would be more honest, I would think, to say that you are not aware of any verses that hint at a Lunar Sabbath. That is just from an outsider's perspective, as I don't believe that I have any skin in the game, so to speak.
Of course the 29 day or 30 day month does break the cycle, which is exactly the point that the Lunar Sabbatarians are making. We in the Evangelical community would argue that they are making a mountain out of a molehill, as our perspective is that just because someone worships on a particular day of the week, doesn't at all mean that they are worshipping Lucifer or a Sun god. I find it interesting that in Latin for the word "Sunday", they use a word that is similar to their word for "Lord", so a lot of folks who try to say that people who worship on Sunday are worshipping a sun god, well, that only works in English, and perhaps some Nordic languages from whence English is derived.
When I lived in the DFW metro area, we attended a large mega-church that offered both Saturday night and Sunday morning services. There were two reasons for that, and it had nothing to do with worshipping on the Sabbath, which wouldn't work anyway, since the Shabbat is over by sundown. We had just moved into a new larger building that did not have room for accommodations for all the small groups on Sunday, and we wanted to expand our outreach to reach people in the community who had jobs where they had to work on Sundays. I suppose that might also be a good reason to expand to Saturday mornings as well, but they had a lot of sports outreach that was going on at that time.