I'm lost here.
The MUTING lamp is controlled by 1/2 half of the DPST switch on the back of the Muting Control (the one you just replaced), and only by that switch. Nothing else controls that lamp -- no other switch, no relay, nothing. When the Muting control is turned on, the muting lamp glows. When the Muting control is turned off, the lamp is extinguished. It's that simple. Which is to say, the lamp does not go on and off automatically as the unit might go into and out of muting action.
Now, the AFC lamp is controlled by contacts on both the AFC switch, and AFC/Microtune relay. Therefore, if the AFC lamp contacts on either the AFC switch, or the AFC/Microtune relay are compromised, the lamp will not light under any condition.
The bottom line is that unless something is either mis-wired or cross-wired in your unit, it is normally not possible for either of the two relays it employs to active the Muting Lamp.
Could you please clarify these facts in your unit?
Dave