Question about publicly traded private equity companies (Apollo, KKR, Carlyle, etc.)

When you own the stocks of these companies, do you own the entire portfolio of companies, real estate, etc. or do you just own the profits generated by the management fees?

In other words, do just the private investors who are invested directly with Apollo own the returns generated by those assets, or do the public equity holders also own that plus the management fees?

Sorry for the stupid question, just curious! Thanks