In the 1950s/1960s, the term "automatic programming" referred to compiler construction: instead of writing assembler code by hand, a FORula TRANslator (FORTRAN) could "magically" turn a mathematical formula into code "by itself".

"4GL" was a phase in the 1980s when very high level languages very provided by software companies, often integrating DB access and especially suited for particular domains. The idea was that one could focus more on the actual problem rather than having to write boilerplate needed to solving it.

LLMs permit to go from natural language specification to draft implementation. If one is lucky, it runs and produes the desired results right away; more often, one needs to revise the code base iteratively, again navigated by NL commands, to fix errors, to change the design based on reviewing the first shot at it, to add features etc.