Land-lease community and mobile home park describe the same structure. So do pad rent and space rent, which are just other names for lot rent. Lot rent means rent for the ground and the connections to it, and nothing else.
In a normal park the resident owns the home and everything from the utility connection inward. The park owns the roads, the water and sewer lines up to the point of connection at each lot, the electrical pedestals and any common ground. A silent lease usually doesn't change that, because most states have a manufactured housing tenancy statute that sets a floor for what the park owner has to maintain and how tenancies work regardless of what the lease says. Which statute applies and what it requires varies by state, so read that state's act alongside the lease rather than reading the lease alone.
Four things I'd want written in that document before you owned it: the term, the notice period for a rent increase (many states set a minimum and it isn't the same everywhere), how water and sewer are billed to the resident, and what happens when a resident sells their home in place, including whether the buyer has to be approved and whether the home has to meet condition standards.
One more thing that catches people at this stage. Leases matter to your lender as well as to you. Some financing programs want written, current leases on file for most of the lots, and a park where half the tenancies are handshakes can complicate the loan. Ask the seller for the actual signed leases and match them line by line against the rent roll. The gaps are informative.