No, it is pretty much that simple.
Taxing corporations is just plain stupid.
Much smarter to tax the profits received by the owners of the corporation.
Many of the owners of the corporations are middle class Americans through their IRA's and 401K's. Raising capital gains taxes would severely impact the retirement income of these citizens. That solution merely gives more money to the gubmint and reduces the money retirees would spend on consumer goods.
I wouldn't call for raising capital gains taxes, but there would certainly be more capital gains. And for the most part the IRA and 401K profits are tax-deferred.
Granted that taxes are deferred on IRA and 401K plans until the funds are withdrawn. Most of my retirement funds are in mutual funds that buy and sell stocks and bonds. They have to pay capital gains taxes on their trades and any increased cost that they pay decreases my investment.