It's possible that the cable interface box has the necessary blocking hardware in it - I really can't say. It would be smart of them to do that.
But, for your case, if the house RG-6 is disconnected from the cable interface, then no problem.
However, in re-reading the thread, it appears that you do NOT have any existing in-wal RG-6 to play with - just the satellite feed cables.
That being the case, diplexers are the answer. Here's the "rule". You can put a TV output signa on the same wire as a satellite feed - in either direction - as long as the diplexers are the 'inner' devices on the wire.
This is OK:
DP34 --- diplexer ---//--- diplexer --- receiver
This is NOT OK:
diplexer --- DP34 ---// --- diplexer
Said diplexers can be used to send OTA band (VHF/UHF) signals as desired.
For example, from a receiver's TV RF output towards the switch, out of a diplexer there, into other diplexer(s) to be sent to another room(s), and diplexed off near the back of those receivers.
Note that the receivers RF output does have limits on how much cable and splitting it can handle. It varies by installation. A basic VHF/UHF amplifier placed near the switch should solve any of those issues. An amplifier placed near the driving device will NOT.
I THINK that's what you were asking.