The question is not one of doing better, but of inevitability; for a company's stock to be worth anything, it has to pay profits out to the stockholder. This can mean dividends or an eventual lump sum when the company winds down. The problem is the latter never happens because companies never want to admit they are dying. On top of that, every company dies; just in 2006 the oldest company in the world, Kongo Gumi, went under after operating continuously since 578. The stock price is, in theory, the net present value of the stream of earnings its bearer will receive. So if no company will ever pay significant monies when it winds down, that leaves dividends (edit: now that I think about it, getting acquired counts too).
I have no evidence to show dividend-bearing stocks outperform their counterparts, but my point is that those counterparts are overvalued. If a company will never be bought, will never pay dividends, and will never wind down operations rather than face bankruptcy, the net present value of its stock is therefore 0.