OK my friend I have seen Journeymen struggle with precision holes (in "tents" LOL (.0002) in lathes with .0001 spindle runout and I have trained them so ifn' you want the skinny I will do so and a precision hole can be achieved with that .002 spindle runout by boring and some other tricks for both size and finish (provided the lathe (ways/carriage (yada) aren't giving you too much taper over the needed depth ("length) of hole and then that's when the reemer comes in with better results)...but the drill or reemer (1st with a dowel pin or drill blank in the chuck in the tailstock) needs to be on center to the spindle and there's tricks to that (adjustment) that need to be done IE This is why a guy will center drill, say a longer part (which will be on center with some careful easy handed high rpm center drilling (same principle as precision OD turning and ID boring will hold with that .002 runout) even with a tailstock set up that is out, but then, even in a precision lathe with no wear (taper), when he pushes the live center in and cuts the OD (X) he will cut a taper in the part...
holler ifn' you want me or need me to go step by step but 1st I will need to pop a top (or have a 2nd cup of coffee ifn' its before noon (LOL)...along the way and when done it will all be understood (you need a TEST indicator on a mag base plus a "round holder" (usually 1/8 to 3/8 OD) to hold the test indicator in both the spindle and tailstock (chuck)....again, these are thangs' that need to be learned and done when we're talking about .0001, .0002, .0003 but can be even in a somewhat sloppy lathe....cheers!