Letting agent insist to putting landlord home address in AST instead of their office address

My letting agent insisted to put my home address in AST instead of using their office address with my name which is what most letting agents do as I understand.

Is there any legal reason they have to do this, or shouldn’t do this?

This is what they claim to be why:
Section 47 is the rent demand address and it has to be a residential address in England or Wales:
Landlord’s name and address to be contained in demands for rent etc.
(1)Where any written demand is given to a tenant of premises to which this Part applies, the demand must contain the following information, namely—
(a)the name and address of the landlord, and
(b)if that address is not in England and Wales, an address in England and Wales at which notices (including notices in proceedings) may be served on the landlord by the tenant.
(2)Where—
(a)a tenant of any such premises is given such a demand, but
(b)it does not contain any information required to be contained in it by virtue of subsection (1),
then (subject to subsection (3)) any part of the amount demanded which consists of a service charge (“the relevant amount”) shall be treated for all purposes as not being due from the tenant to the landlord at any time before that information is furnished by the landlord by notice given to the tenant.
(3)The relevant amount shall not be so treated in relation to any time when, by virtue of an order of any court, there is in force an appointment of a receiver or manager whose functions include the receiving of service charges from the tenant.
(4)In this section “demand” means a demand for rent or other sums payable to the landlord under the terms of the tenancy.

Many thanks

Mike