I think Lucky Mining adds a cheap thrill for certain people that helps decentralize mining while vesting requires miners or the people that hire the miners to think long-term and thus reduce the short-term volatility of hash power.
I agree, are people seeking a cheap thrill the type you are trying to reach with an equitable distribution. Are all bodies and participants equally valuable? I don't think they are, and just as you're not trying to appeal to your own type personality with this lotto mentality, I don't think it will appeal to the types of people whom you actually want. You want people who are smart and can evangelize the product without falling back on the "It'll make you rich" argument.
I liked the long term vesting idea a lot more, and I like the idea of long term predictable payouts being one end of the spectrum and low odds high payout being the other end, but allowing the balance to be selected by the individual. If you believe in the project and want to work towards a long term development goal with it, you would very much prefer the slow but reliable payout because it means you are guaranteed to have a stake in what you are working towards as opposed to the lotto "Maybe I get a lot, maybe I get nothing" approach. With that approach you are only invested if you are lucky. You don't want people maybe being supporters, you want evangelists who know they are invested.