How to switch OFF the HC12 Tx function completely?

The reason I'm forced to consider this seemingly drastic measure is as follows:
I have one transmitter (Tx) unit generating timing data, and several receiver (Rx) units which receive this data and show it on LED matrixes via Serially commanded Matrix Drivers.

If I run 2 (or more) Rx units I get weird results quite randomly.
Sometimes all goes correctly and the Rx units display the data from the Tx unit just as intended.

However, sometimes the data gets garbled. When this happens the results are randomly strange.

Trying to understand the reasons (I have no scope nor any access to one), I have found that the problem NEVER occurs when only one Rx unit is in play; I can run the system 1:1 all day with no issues.

And, furthermore, the problems can manifest regardless of the separation between the 2 Rx units: 1m to 50m, makes no discernable difference.

This leads me to believe that the issue is to do with signals getting from one Rx to the other Rx as passthrough of the received command and this unwanted signal is interfering with the Tx signals that follow.

So, my solution is to attempt to kill the passthrough signal output on the Rx units.
Hence my question:
Is there a way to completely kill the output of a HC12 unit, rendering it solely capable of receiving?

If anyone has any other ideas, or can see any issue with my thinking, please let me know.