FTG, if you do not have a wall plate but rather the Box of Many Buttons.. Let me step aside for a sec.
IN my earlier post I assumed wall plate.. If the Original Poster has a box of many buttons,, THe connections on the back should be labeled, everything else I said applies.
Back to FTD
NORMALLY I say NOTHING between the switch box and the antenna save coax (And a bulkhead connector at the roof, but that's... coax)
The ONLY exception is the Sensar pro
I mounted a standard outlet box in a place where it was convienent, routed the coax from the antenna to that box routed a second coax from the box back to the switch, routed a 3rd coax to the Rear TV compartment (Long run) but you do not need to do that.
My system includes digital converters Front and rear.. The front converter actually is where the "Switch box" antenna lead goes (A splitter may get put in eventually) the 2nd Pro output goes to the rear converter. Bypassing all switches. I used high quality RG-6 cables as is my preference for lower loss.
If you want my full Rube Goldburg Setup, I can describe it for you but for now I will say
3 Televisions, one old CRT, two modern flat screens one doubles as a computer monitor and the other as an MPG player
Two Analog DVRs (from the old days) each controlling a digital converter
One camera
One Sat receiver currently "De-comissioned"
One LAN allowing the DVR's to do the "Record in one room watch in the other or on computer or on tablet or on smart phone" bit (Recall these are old Analog days DVR's and I have been doing it that way for a long time)
And all the cables and wiring to let me play with them any way I want.