> they will move their money if Google doesn't do what they say - namely cut costs etc...

Why would Google care? This fund owns Google stock; it isn't giving money to Google, it gave money to whoever it bought that stock from.

Selling a fraction of a percent of the total in the market might move the stock price a little, but probably not much.

'Moving their money' just means transferring that stock to someone else who may have more faith in the company's strategy.