Pin 6 apparently is used as a tie point... there is no internal connection to the 6W6 from that pin.
I found a schematic for a (perhaps) similar 21" Sylvania set (ch 1-510-1) from 1953. It shows 240 volts connected to the output transformer and a 47 ohm resistor from the other end of its primary to the plate (pin 3) of a 6Y6 (same pin connections as a 6W6, 6L6, 6V6 etc.) output tube. The schematic indicates 120volts on the plate of the tube, with an asterisk/dot. A the bottom of the page it says " * Measured from the 120 Volt line". Perhaps they left out the note on your schematic... there simply cannot be a 150 volt drop across a 47 ohm resistor, unless it is glowing brighter than the sun! (and it won't do that for long)
Edit add:
The resistor in the plate circuit of the 6W6 *might* be used as a fuse or to suppress parasitic oscillations.
jr