corporate and payroll taxes are all paid by employees depending on elasticity, their income would be higher if the taxes didn't exist. True for estate tax.
Wages are sticky because people generally don't like job hopping. Over time they absolutely lead to higher wages as firms compete for employees.
As far as corporate tax incidence, the literature is pretty clear that they reduce wages. They reduce return on capital too, some estimate that a $1 corporate tax costs capital 60 cents and labor 40 cents from what I've read. Some estimates are 50/50 though. https://www.aeaweb.org/articles?id=10.1257/aer.20130570
Daddy Warbucks learns that the government is raising corporate taxes. He goes and tells his workers the government has cut their pay. He has no choice. Business necessity.
Daddy Warbucks learns that the government has cut corporate taxes. He pockets the windfall.
There is some business logic behind this: if the windfall is temporary, he doesn't want to raise salaries. That would be difficult to undo if the tax rates go back up. And whether this is the logic that actually motivates his decision hardly matters. Who can know what is in his heart? Even he doesn't. This helps him sleep at night. When he harms others his hand has been forced. When he helps other it proves his essential goodness. Fundamental attribution error FTW!