Case hardening to the full spec is usually only tens of microns thick but the first mm or so where the case meets the base material usually gets harder too. I have no plans to open a Wee motor, but on the Bonneville where the shim sat on a cup that rotated I'd see no issues so long as the ground surface sat on the fixed joint.
I'd get a digital display micrometer BTW, seen loads of mistakes where the Vernier scale got too much hassle to read after a few readings and if you don't use one every day...... The Chinese ones are IMHO OK. We use them at work on the basis that when they arrive they are fine and they stay in calibration for 6 months. They then go off, but it's cheaper and easier to bin one than get someone to calibrate Japanese or European kit and have it out of the building for weeks. Any micrometer you'll only use for valve shims wants storing c00l (as in 20 degrees C), dry and part open otherwise after a year it's just a weak G-clamp.
Andy