The issue the OP is talking about is putting a set of rebuilt heads of any type on a worn bottom end. The additional sealing brought about by freshened heads is disproportionate to the worn ring seal, which will cause additional blow-by and oil consumption.
In other words, it won't wear out your rings, but it will point out how crummy they actually are. The leaky valves and leaky rings got along fine but now they aren't balanced due to great valve sealing. I've seen this many times, and if your rings are worn much at all, they're gonna lose oil.