No, naming them is not the main purpose, preserving and transmitting knowledge of what they are and what they are useful for, so that people aren't fofced to rediscover solutions to the same problems over and over again. [0] Naming is obviously important for that purpose, but isn't the main goal, but a means of supporting it.

[0] If this sounds like a subset of the purpose of a reusable code library, it is, which is why in languages with sufficient abstraction facilities to allow the generic implementation of a pattern to be reusable, well documented (for the “where and when to use this” piece) code libraries replace documents that have the explanation paired with implementation recipes that one can modify to one’s particular use.