-That's not quite true. I've had to sharpen many a punch for stamping dies that was coated (several types) as well as a few drills someone had. The coatings will erode a grinding wheel but they can be sharpened once you grind below the coating. I wouldn't bother trying to remove the coating from the outside or the flutes, it can still provide less rubbing/friction between the drill body as well as aiding in the evacuation of chips from the flutes. I still believe that many of the cheaper drills that are coated are not made from HSS unless it expressly states it is.
Any type of carbide cutting tool (drill, end mill, etc.) should not be sharpened with the usual grinding wheels (AlOx, carborundum, etc.) and require a diamond wheel (expensive) for this. Yes you can use a Silicon Carbide (usually green) wheel but it leaves a rather rough cutting edge and may induce thermal micro-cracking if not careful. Not having a diamond wheel (which should always remained mounted on the hub once it's been "trued"), that's what I use but it's not recommended. For that reason I try not to use any of my carbide tooling. HSS works for most any situation/material and sharpening is far easier if I dull it on heat treated (below Rc 52) or welded material.
For the occasional drilling tasks, use whatever suits your budget. Not much point in expense without benefit. Ganbatte.
It is true the drill bit is still some what usable.... dependent on the parent material, but the coating supposedly makes the underlying metal harder only on the few thousandths of an inch on the surface "supposedly". You might still get a usable bit after grinding, but.... Not that it is always the case, they used the coating because they don't want to used the expensive HSS alloy/metal in the whole drill bit... so is it still "drillable" after sharpening yes. It will probably not be the same. That was what I was "told" 30 years ago. probably still true today with more marketing wanks.
Better to invest in drilling techniques than kept buying more expensive consumables. Yes drill bits are consumables likes it was mentioned few posts back already..