Wow, you are just a fount of knowledge, aren't you? This is the setup I have in my house. Most diplexers will power pass on the satellite leg and block on the antenna leg. Here. Look at all these diplexers, and notice they all show the satellite as "power pass". The OTA leg doesn't show that.
https://www.google.com/search?q=sat...KEwjrmPr8rujRAhVIzIMKHXstByoQ_AUIBygC#imgrc=_
Even if they didn't, the power inserter is a one way device (sending power toward the antenna, and not toward the TV). So, my Dish receivers send power from the coax (through the diplexers) to the LNBs. Before my antenna signal hits the diplexer, there's an inline power inserter.