Also not any more than a .c file is "programming your compiler" nor a binary executable is "programming your operating system" nor an operating system is "programming your hardware" nor hardware is "programming mathematics". Disclaiming HTML as a programming language when it is actually powerful for programming comes across to me as a No True Scotsman argument about "real" programming languages being used to program only in some contexts or to make only some things as the program.

I agree that it's a matter of semantics but I also understand HTML to be a programming language, semantically. It seems to me that where one draws the line for programming language is always going to be arbitrary unless one is willing to see that a language being used to program in some context is a programming language.