Most companies who raise through Invesdor use an "Equity Crowdfunding Shareholders' Agreement" that each investor must sign. Its wide boilerplate language prevents the small investors from selling or transferring their shares, and requires that they vote on key issues according to instructions from the Board.
That kind of agreement basically strips the investors from any actual power in the company, so their influence really is limited to "all-caps emails". Even then, my impression is that most of these small investors are reasonably well diversified (contrary to what one might expect) -- they put small amounts of money in multiple Invesdor companies, and don't expect a return any time soon.
Often they're really just looking to support the business Kickstarter-style, with no actual expectation of an exit.