There is an issue with using pin gages to measure a bore. The gage only tells you something about the minimum distance across a diameter. Any irregularities such as lobarity (is that a word?) a barrel shaped hole, etc. will not be picked up with a pin.
We had an instance where we had precision glass syringe barrels made; approximately .09" diameter but with a +/- .0001" tolerance. We had pin gages in .0001" increments to check the diameter, as did the manufacturer, but they really didn't tell us what we really wanted to know.
Profiling the glass cylinder properly could have been done with an air gage which measures the back pressure of two or more opposing jets of air to make accurate measurements. The accuracy depends upon the size of the gap between the probe and the part but for a reasonably close fit, accuracies better than .0001" are achievable. With different probe styles, taper, lobarity, bore straightness, squareness, can all be measured.
Unfortunately, the vendor did not want to spring for the cost of the instrument and they were the only game in town, or for that matter, anywhere so we had to be content with our pin gages.
Fortunately, for most of the work we do as hobbyists, we don't need that kind of accuracy. If we are measuring a bore for a clearance fit on a shaft or a bearing housing for a proper interference fit, a ten thousandth out of round is of no real concern and pin gages will do the job.