To have this discussion properly, we would need to talk about tax incidence. (
https://en.wikipedia.org/wiki/Tax_incidence)
It's a relatively well known fact that eg it doesn't really matter too much whether officially the employer or the employee is required to pay the employees income tax---the money comes out of the same pot.
Similar things happen for other taxes. Eg VAT in European countries seems to be paid for by the shops, but it wouldn't make a difference (apart from convenience in collection) if you'd levied it directly on the shoppers.
Any discussions about 'trickle-down economics' is incomplete without tax-incidence.