If I were you I would try this.
Turn off Auto Channel on every device where you can.
Set the OT to Send Clock, and Send Transport
OT(out)>(in)AR
In AR turn on Receive Clock, and Receive Transport.
In AR turn off Send Clock, and Send Transport
AR(thru)>(in)A4
In A4 turn on Receive Clock, and Receive Transport.
In A4 turn off Send Clock, and Send Transport
A4(thru)>(in)Moog
Set Moog to receive external clock.
This should allow the OT to send it’s clock and transport to all devices.
And only the OT would be capable of sending out other midi messages.
Once you get that working, then you could address sending the Moog back to the OT.