Pinion depth has to be set first by default of assembly order. Backlash can be adjusted without removing the pinion, but pinion depth can’t be adjusted without removing the diff carrier. Adjusting pinion depth also adjusts backlash without adjusting the diff carrier shims. Not sure if that makes sense.What I'm seeing in that particular chart is a different procedure, which may be different entirely in what corrections may need to happen. It very clearly puts setting backlash ahead of setting pinion depth.
If you’re going from Ford OE gears to other Ford gears (recommended), I would use the exact same pinion shim thickness that was installed from the factory. I tried measuring mine with a tool, and ultimately ended up very close to the OE thickness.
'm pretty sure that differential shims will fit behind the inner pinion bearing race as an alternate method of setting pinion depth deeper toward the differential carrier, mimicking the use of a thicker pinion bearing shim. Can anybody confirm this? Without a press and if needed this might be an easier alternative.
Personally I have not tried this, but conceptually it should work. One challenge will be accurately measuring the thickness of the OE pinion shim without pressing the original bearing off.