@hysteria did you ever get to lubing the drum and seeing if it helped?
-- merged --
Okay, I
may have managed to fix this on my VR1100 (though will have to run it a bit to see if it's just a fluke). I took off the drum motor, and cleaned the carbon brush with a bit of isopropyl alcohol, and put all of it back together. That seems to have made the squeaky noise go away, though will have to use it a bit more to be sure. I don't know for sure if it was the brush, or if it was the drum motor making contact with something (though former more likely, don't know if the cleaning had an effect either, or repositioning it was sufficient.)
If you decide to do this - be
V E R Y careful with it It's small and fiddly and easy to lose, and the spring is a bit fragile. It's composed of a spring which presses down on a carbon thing that makes contact with the drum. On this the carbon thingy and the spring were two separate parts so had to turn the drum upside down to get it out, but on other VCRs (like the LG in the image) the carbon thingy and the spring may be bonded together as one part.
Also note that the rotation of the motor assembly impacts the head switch position, so you may have to loosen and tighten the screws and move it slightly after checking the image to get it to the correct spot. It won't move much unless you also remove the brass retaining thing it's screwed into, but I found there was enough wiggle room just by holding it to the sides to make a difference. Ideally one would just re-adjust the head switch point normally afterwards, but on the JVC made VCRs that requires a special service remote (or codes for it, which I have not been able to locate). Other manufacturers don't require service remotes for this stuff.
This is from a LG-made deck, but it looks about the same on the JVC with the motor assy off, red ring shows the spring that's part of the carbon brush.
brush.jpg