Looking at RCA 1937 data for 6L6, I'd guess the 300V 4.5K condition at 55mA plate current for 6.5W out.
Adding G2 and little-tube current, say 60mA.
You observe 397V un-loaded. Yah know, I'd pencil a 1K field-coil resistance. 300V at the 6L6, plus a few volts lost in OT, plus 60mA*1K= 60V dropped in FC, is maybe 370V at the first cap, loaded, which is reasonable for 397V un-loaded. Or at least you are likely to run cooler than 300V at 6L6, and a little low is a reasonable target in view of this amp's age.
The 1K resistor dissipates 3.6W, so really should be a 10W part, with lots of cooling air. Since the chassis is already packed, you might have to shot-gun a band-aid tin and mount the FC-replacement off on/near the speaker.
But wait. What's that other "choke" under the chassis?
There's lots of other newer parts. At least two electrolytics and a film-cap. Also I see a wax-cap which is surely past its freshness date. Some care taken: the sleeve on the (surely rotted) line-cord to power switch is a nice touch (new cord would be nicer).
I hate to see historic amps scraped-clear. But between hasty assembly, decades of patches, and the ravages of time, this may really be ready for a deep re-build. Lot of painstaking work. Good winter project.