There's no way to tell for sure what you have inside your TBD LED drivers but a prudent design might have just a high resistance to 0V to disable the output with no connection. Long wires can pickup noise and a filter cap is recommended for line noise pickup such as 0.1 uF ceramic or more for intentional RC=T [s] delay. Then using the recommended pot value such as 10k can be used with twisted-pair ethernet wire for multiple inputs. STP wire would be even better grounded only at one source.

For a better solution, you must define every part and layout.

There's no way to tell for sure what you have inside your TBD LED drivers but a prudent design might have just a high resistance to 0V to disable the output with no connection. Long wires can pickup noise and a filter cap is recommended for line noise pickup such as 0.1 uF ceramic or more for intentional RC=T [s] delay. Then using the recommended pot value such as 10k can be used with twisted-pair ethernet wire for multiple inputs. STP wire would be even better grounded only at one source.

For a better solution, you must define every part and layout.

^{simulate this circuit – Schematic created using CircuitLab}