Don't most economists think that corporate profits should not be taxed? (When all else is held equal.) By that argument, the real problem is taxation of the profits of for-profit corporations...
which is entitled "Six Policies Economists Love (And Politicians Hate)".
In their list of the six policies, number 3 is:
"Eliminate the corporate income tax. Completely. If companies reinvest the money into their businesses, that's good. Don't tax companies in an effort to tax rich people."
They surveyed a panel of five economists that (allegedly) span the political spectrum. And they all agreed, and said that most economists agree with, this policy.
So I'd be curious to hear what evidence you have for the claim that "many more think the opposite".
Corporate profits being taxed at a different rate than capital gains tax introduces some weird incentives to corporate investment decisions. But that isn’t saying it should be zero.