You're assuming the pay is cash. Most CEO (and high level executive) compensation is stock, which is taxed much differently from salaries. The tax brackets have very little effect.
While you are right (salary, bonus and other cash compensation was $4.1 million, while total pay package is $14.7 million), A) I did write "income (and wealth) tax rate", B) capital gains taxes have also decreased, and C) my main point is that if we tax the rich more, then daenz's question effectively disappears.
If the highest tax bracket is 100% then there's no reason for a CEO to want a higher income, as it will all go to taxes.
In 1960, the highest tax bracket was 91%, for incomes above $200K (that's $5.6M in Y2022), or filed single or separate) or 300K ($2.9M in Y2022) for married+joint.
A CEO in the highest bracket would have to justify a $10K raise that cost the company $100K.
While the highest bracket now is 37%, for those making $314K or above. Asking for a $100K raise only costs the company $160K.
I think that's an easier sell.
So another way to affect CEO compensation is to raise the income (and wealth) tax rate.