Know exactly what you mean and faced same problems for 20 odd years needing precise accuracy as an end product.
Its more down to batch produced since since had same tubing from same supplier over time. Bores will be different as will be o/d. Up to twenty one years ago used to buy BS1474:HE30TFT66082? by the tonne, tolerance for an extrusion was +/- 0.1mm, more often than not on the undersize since less material for same cost of product. Theres not many extrusion mills knocking around though could be imported.
I don't buy much 5/8" o/d usually larger thick wall to bore out and turn o/d. Some of it well over 30% runout.
Finding reasonably concentric bore to o/d you will have to visit places or take a punt. The only advice I can give is buy or try as many different suppliers, some maybe better than others. Last year dropped on some critical 15mm bore bore that had to slide over cock on 15mm dia with minimal tolerance bonded, 5/8" no good too much clearance. Got it offf ebay last year but 18 o/d x 1.5mm. First bought a short length then bought the rest at longer lengths.
Other than that dependant upon lengths, turn o/d concentric to bore.