I've seen a couple of wooden tool chests marked "George Scheer Co"., a few marked "Lufkin", and a few marked "Starrett", but all the ones I've seen were "rebadged" Gerstner chests.
The "Starrett" badged Gerstner chests were a special-order run, with a slightly different drawer arrangement, red felt lining instead of green, mahogany instead of oak construction, and even the lid mirror mounted at a different angle.
The "classic", so to speak, pre-Scherr Tumico outside mikes are nicely elegant, with high polish nickel plated "tubular" frames and, in the larger sizes, were more comfortable to use, owing to their lighter weight. Tumico advertised them with a "the feather touch" logo.
The Tumico outside mikes were made with the (optional) carboloy tips, and tenth verniers, and can generally be trusted for o.d. measurements to the same extent you'd trust a Starrett or Lufkin mike.
There is a bit of an issue with the Tumico mike frames, regarding error from expansion due to the warmth of the user's hands. The lighter Tumico frame, obviously, hasn't the mass of the heavier Starrett/Lufkin/Brown&Sharpe frames, to absorb hand warmth and expand more slowly.
You can see this for yourself by making a surface plate setup with the mike reading on a tenths indicator. Hold the mike frame, and watch the indicator move. Try this with several makes of o.d. mikes, and note the differences.
Some users of Tumico outside mikes would wrap, or "serve" the mike frame with leather or light net cord, as thermal insulation. If done "Navy style", i.e. "macrame" they even look elegant.
cheers
Carla