I have Mitutoyo's, analog, not digital. The machinists at work have Starrett,s, and Brown and Sharp's.

What you're looking for is zero hysteresis. You want a caliper that does not have any "slop" at all. When opening and closing the caliper, it should always return to the "zero" you have set.
Any quality dial caliper will be more than accurate enough for wood working, (we'll leave the NIST discussion out of it. )