What does it sound more "logical", as you say, to you? Rewarding someone with new coins if they prove that they did a costly process or rewarding someone with new coins if they prove they own coins? Honestly, besides the arguments that have been numerous times told, what sounds more rational to you?

If I was a person who didn't know what's a cryptocurrency, I'd suggest that the latter lacks in some parts, even if I couldn't indicate where exactly. My common sense would say that there's something problematic.