No, typically companies only pay dividends when they are mature and have lower growth prospects, this results in a majority of megacap companies paying a dividend. Once companies grow to be a certain size, they typically BEGIN dividend distributions, ie Apple/Gilead. There are exceptions like Berkshire and Google, but those are the exception rather than the rule
What you are talking about doesn't affect market cap, price for company shares are still set by active investors/market makers, not passive indexers