Cylinder taper, also sometimes referred to as counter-taper is when an expandable split lap is used for honing. This hone design gives an adjustable capability required to impart a slight taper to the bore. If the cylinder is lapped with the top of the cylinder towards the chucking piece, it ends up with that picture perfect taper about TDC to give that extra compression that race engines so love, but, becomes slowly more loose towards BDC. This lowers bottom end friction and aids in lubricating the cylinder. Arguably, taper also puts more twist into the rings, and so it can be argued that this disadvantage outways the good. Maybe so - I'm neutral on this issue.
Hone RA (roughness average, and other grit measures such as RK - core roughness, RPK - peak height and RVK - valley depth, must be matched to ring material. e.g chrome, moly, steel all require different honing values. But counter-taper must be matched to engine specifications as it depends on the engine/cylinder material. Most manufacturers will give the maximum wear taper for their engines. Taper honing should be no more than 50% of this value. i.e counter-taper should be around .002" to .003" (wider at the bottom than the top of course) for an engine that tolerates 0.005" wear taper.
If your machine shop is not taper boring/honing then you're just not at the peak of perfection on that rebuild
