Hi agree with Averill,
Clause 4 of the agreement to lease normally says:
4.1 The Tenant shall enter into a formal lease with the Landlord to be prepared by the Landlord’s lawyer using the current Auckland District Law Society Inc Deed of Lease form amended in accordance with the provisions of this Agreement (“Lease”). Each party will pay their own costs of the negotiation and preparation of the Lease and any deed recording a rent review or renewal.
4.3 Notwithstanding that the Lease may not have been executed, the parties shall be bound by the terms, covenants and provisions contained in this Agreement and in the Lease as if the Lease had been duly executed.
If so, as Averill says, then the terms of that lease (including the No Access clause) still apply.