Yes, you CAN stop there, the other qualifiers I added were specifically because C sort of assumes those to be present and while there are C to bf compilers they emulate that functionality on top of the more restrictive, but turing complete, architecture. I was listing the things C assumes/requires the hardware to be able to do for reasonable performance and compilers not emulating features.

These are not language features but features of the C standard library and are only required if you wish to use said library, they have little to do with hardware requirements or the language itself

You aren't wrong but classically a high level language is one that is abstracted from the hardware which is precisely why C is considered high level. You don't have to think about registers, instructions, stacks, etc, you just call functions with arguments and write "high level" code. It's on the lower end compared to modern very high level languages but it's still considered high level. Classically most non-assembly languages are.