You haven't given a figure for cylinder bore wear so I can't comment on whether your rings lasted as well as I'd expect. It sounds a bit unusual though, Chris. Because the top ring is chromed in Honda's original equipment ring sets, it normally wears a lot less than the other rings. The oil ring wears most. The second ring wears fairly quickly until it loses its taper, then more slowly after that.
Here are the ring gaps from a mildly worn GXV120 (0.002" bore wear) as it was when I received it, smoking just slightly on heavy loads or when increasing engine speed:
Top ring (chromed): 0.029"
Second ring (tapered): 0.057"
Oil ring (cast iron): 0.121"
Compared with the service limit for all ring gaps of 0.039", it is unsurprising that this engine still had perfect compression, but was burning enough oil for my wife to object to the smell and smoke (which was less than a 2 stroke of course, but was noticeable).

Here is Honda's diagram of the ring design:
[Linked Image]
The taper on the second ring is so that it can act as an oil scraper ring.

You can get two types of rings for it, generically. The cheaper option is the Thai ones which are very like the original ones except the top ring is not chromed. I have used them in a GXV120 with a rather worn bore (0.007" of wear): their advantage was that the ones I got at least, had a smaller ring gap than OEM rings, so I had a ring gap at the high limit for a new engine, despite the worn bore. They worked perfectly in the engine (no oil consumption, and compression figures identical to mean specification in the workshop manual). I only ran that engine for 4 hours though, so I can't comment on longevity. In the case of the engine with only 0.002" bore wear, I used original equipment rings obtained from the vendor instead of from Honda:
http://www.ebay.com.au/itm/OEM-Genu...mowerAccessories&hash=item485700105e

The attraction of the OEM ring set is that it is late production so it has chromed steel rail oil rings, the same design as for a car engine. I expect these rings will last longer than I will. I've only run that engine 2.5 hours so far. It runs like a new one, of course. IMO your rings are too worn to even consider putting back in the engine. If I were you I'd use the NPR rings in your engine, but I'm not you, so obviously you'll make your own decision. Note that the NPR rings are intended for an original bore size, so they will give a larger ring gap than the Thai rings, which are intended for use in a worn engine.