[RTM]

Update:

First, thanks again to everyone who's contributed.  I know that I know just enough to know how much I DON'T know, especially when it comes to vintage tube (radio) conventional wisdom.

The Filter Choke transformer's here and in.  The radio is functioning well.  I've realigned it (it wasn't very much out of alignment in the first place but I couldn't know that until I checked it) and I've installed the light and I've checked it with the 43 bulb I had (way too dim) and the 41 bulbs should be here today. 

There is some residual hum (no surprise there from what I've read elsewhere by many of the experts here in other threads) but it's not really that bad considering it's a 90-year-old radio.  I think it's actually slightly lower in volume than before.  I think that filter choke had begun exhibiting minor misbehavior many years ago and I'd just forgotten about it.  I presume the filter cap(s) might be to blame, but I'm not sure if I'll undertake changing them right away.

Quick question:  Has anyone ever tried LEDs in the lamp? 
I can think of good reasons to try it (brightness and decreasing the load on the 27 tube) and good reasons not to try it (LED's are noisy, especially in MW/AM).

Is there a consensus one way or another?

Thanks again to all...