Are PCP and leasing in North America exactly the same from a customers point of view?

Are PCP (personal contract purchase and personal contract plan) and leasing in North America exactly the same from the customers point of view? I.e there are 3 options at the end of the term hand the vehicle back to the vehicle finance company, part exchange the vehicle for another vehicle or pay the optional final payment and the car is yours (you can keep the car). Is what they call finance in North America the equivalent of hire purchase in the UK? Is there a North American equivalent of Personal Contract Hire, where you have to give the vehicle back to the vehicle finance company at the end of the term?

Not familiar with your terms, but here are the two normal options in the US - buy or lease.

If you buy the car, you can either pay cash for it or obtain a loan from a lender. The lender can either be a bank or a finance company affiliate of the car manufacturer (like Toyota Motor Credit).

If you lease the car, it is technically owned by your leasing company (normally an affiliate of the car manufacturer). At the end of the lease, you either turn the car in with no further obligation or you buy the car for the pre-determined purchase price under the lease.

Not familiar with your terms, but here are the two normal options in the US - buy or lease.
If you buy the car, you can either pay cash for it or obtain a loan from a lender. The lender can either be a bank or a finance company affiliate of the car manufacturer (like Toyota Motor Credit).
If you lease the car, it is technically owned by your leasing company (normally an affiliate of the car manufacturer). At the end of the lease, you either turn the car in with no further obligation or you buy the car for the pre-determined purchase price under the lease.