Intake is a process, and in most firms it is an accident
A person with a legal problem is anxious, unsure whether their situation is even the kind of thing a lawyer handles, and often approaching more than one firm. What happens next in most practices depends entirely on who answered the phone. If a partner picked up, the enquiry gets attention. If reception took a message on a Friday afternoon, it may never reach anyone at all.
The routine described here is not marketing. It is the administrative discipline of making sure every enquiry is screened once, quickly, by somebody with authority to act, and that the firm knows which enquiries it declined and why. That discipline recovers work the firm was already going to be offered, and it prevents the firm spending expensive hours on matters it should have turned away at the first conversation.