But some external load modules have (CURRENT LOOP) (25 ohm, 75 ohm) and some don't 125 ohm, I don't know why
I think you may be mistaken (probably looking at the under side of one of the REM/ARM
etc. modules).
According to the conventional theory, an external load (CURRENT LOOP) should be connected, because this is the entrance to obtain the induced current
I can't see that you would want to involve the CURRENT LOOP sockets when using any of the load modules. So much for "conventional theory"!