$6,000,000 question.
They have pluses, like they pay nice country resources (if they are profitable) but you can make the same money if not more with state corps especially if you have good indexes like you say.
They'll let you reform disabled and housewives, not hugely significant, but maybe a couple of corps worth of extra workers.
Generally they will upgrade effectivity and so use less workers, have a higher payroll and so pay more income tax.
BUT, you can log on and find several gone in one month. Very annoying. They will generally try to pay as little as possible and this can lead to headaches with your worker distribution as the corps go below 100% hiring.
And there are CEOs out there who will set hiring/production to well below 100% to try to ride out market slumps, or ones who let supplies run out or just dont know how to run ent corps.
Contrary to popular belief, private corps do not always pay CRU regardless of profit, if they are making a loss for a few months they will pay you diddly-squat so are just wasting your workers.
IMO that is the trouble with CEO corps - you dont have control of them. So try to be a bit selective, dont accept stupid corps (nukes, space etc) and make 'em pay a competetive salary.
Of course, private corps are safe in war (ish) where as state are targets, extra targets to defend maybe...
Best solution? Get your own enterprise and build your own private corps in your own countries
