I don't like when companies funnel all their profits to the CEO
That's not really the problem at hand, as I alluded to earlier, one of the biggest problems is CEOs being paid in shares or stock options - as handing out wealth like this drives inequality more than salary differences do.
A major part of why CEOs get paid in shares is precisely because the old accounting standard (I think it has been subsequently changed under IFRS, but would need to double check), meant that issuing shares to executives wasn't counted as a cost and was therefore an easy way for executives to hand themselves massive pay rises
without actually affecting their bottom lines.
Of course, this gives executives a pretty good reason to make all sorts of decisions to maximise short term profit at the expense of the health of the company in the long term (cut R&D programmes and the like), because they will leave and sell their shares in three years.
So whichever way you look at it, cracking down on excessive pay is a necessity, both from the argument that it drives inequality and on the argument that it is economically unhealthy.