I'm going to assume the word "diplexer" is missing there.

So, I think you are saying that if the OTA signal was diplexed (is that a word?) into all four lines coming into the switch, then I would just need a diplexer before each receiver to split it out again. The switch wouldn't lose or mess up the combined signals.
If that's true, the problem is that the TV42 only supports two outputs. So, if I want OTA on all TVs I'm going to have to split out the OTA signal before the switch, split it four ways and use diplexers to send them to each TV again. This is going to be complicated. If I had a TV44 (that has four outputs) I could set it up as described above.