It is a fair point. But keep in mind that you have imposed the condition that only the shareholder pay taxes, whereas this is not the case.
My first post made the point that if you increase corp tax, then it is various groups of people who, one way or another, have to pay for it.
It seems to me that the reverse if also true - if you reduce (or eliminate) corp tax, then those same groups of people, in some combination, would receive more money. These people would therefore pay more tax on the money they receive.
If we are talking about the case of a multinational then these people would be all over the world - workers who receive a bit more pay, and so pay more income tax; shareholders who receive more dividends; etc.
(I accept that lower prices doesn't lead to more tax revenue, but it is none the less an economic good for the consumer).
In answer to your strict question - if only shareholders paid the tax on the profits a company made, then those taxes would be paid to multiple countries, depending on where those shareholders were resident, at the particular different rates of those countries.
But, like I say above, the idea of shareholders only paying the taxes is neither a necessary nor useful nor a realistic condition. Companies are just group of people through which money flows - shareholders are just one of those groups.
Thank you btw for raising the point about companies multi-nationality vs an individual's locality - I hadn't thought about it that way and it does add a new dimension to my point.