That is around 0.030", which is at least double what a new ring and bore would give, but less than the service limit. If the ring you used was a top ring, those are usually chromed on Honda engines, and don't wear much. If it was a second ring, it is a remarkably small gap for an old ring. Anyway, both cylinders are the same diameter, and neither is worn out, so it seems to me you might as well use the cylinder with the less-worn exhaust valve guide. Of course you should use new rings, and measure the gaps by trying them in the bore of the cylinder you intend to use.

Next step is to measure the crankpin size and ovality.