Individuals get approved routinely. The company field is almost always a text box, not a lookup, and the tax identifier is usually only enforced when the network has a reporting obligation in your client's jurisdiction.
Where it actually bites is at payout, not at signup. Two things happen at volume: some networks will only wire to an account whose name matches the account holder, and some require a tax form before releasing anything above a threshold. Neither is a reason to incorporate up front, but both are reasons to know the answer before the first payout rather than after it.
The question of what the money lands in once it's approved is the harder half, and the Payments & Processing board here covers it properly — payout rails, what networks will actually send to, and what happens when the name on the account doesn't match. Worth reading before your client picks a method rather than after.
One caveat: if either network is in a regulated vertical, the entity requirement is real and arrives at underwriting, not at signup.