Not a stupid question, but it isn't their model. Some reasons why it isn't their model:
a) The primary customer of a VC firm is not an entrepreneur. Rather, it is a limited partner: a personal (natural or otherwise) who has tens of millions of dollars allocated out of a larger pile of hundreds of millions specifically for a bucket called Risk Capital in their portfolio allocation strategy. Their only mission for that money is Go Big Or Go Home: they're interested in assets which reliably pay 5% per year but NOT FROM THAT BUCKET. For that bucket they're looking for 20%+ a year over a 10 year period regardless of what happens in the generic stock market and they're willing to pay two and twenty to make it happen.
b) A VC fund is organized as a 10 year commitment between the VCs and their limited partners, and has to wind up at the end of 10 years. Having large amounts of residual illiquid value in the portfolio, like shares of a private company which pays dividends, are the opposite of a win condition. If you value the future dividend stream annuity-style at, say, $100 million NPV or give the VC the option of an acquisition by Google at $90 million in a later year of the fund, the VC will push for the acquisition every day of the week and twice on Sunday. They need that win before the fund closes and they lose the ability to take their 20% of the winnings from it (and primp it to investors in subsequent funds they may manage).
c) Just a social norm: US tech stocks do not historically pay high dividends -- they typically reinvest into new lines of business, like an office productivity company deciding to successfully remake the domestic videogame industry or unsuccessfully compete with their hated advertising company rival, or a domestic purveyor of status goods with microchips in them deciding to make smaller status goods with microchips in them and become the biggest company ever. There are exceptions -- MSFT pays a modest dividend and once did a gigantic distribution -- but they're largely marginal rather than decisive.