A corded phone has the receiver/handset attached to a base-unit/mainset via a cord (handset-to-jack cord). The mainset is connected to a land line. The land line typically has a terrestrial network, through which data is transmitted via cables made of wire or optic fibres, or land-based microwaves. It does not include satellite links or mobile telephone links using radio transmissions.
And a LAN line (Local Area Network) consists of connections that use lines indirectly, usually wirelessly, instead of physically connecting to the phone jack. Usually for computers and the internet.
However, if you talk about LANline (Land Assisted Network) which allowed weak cell sites to connect via LANline (ie a phone jacked to a wall) in the 1980s, then perhaps LANline is correct. In any case, landline is widely used nowadays anyway, a consumer creation from the former LANline...
Well, being a cellphone person, that's what I understand of it heh ^_~