While I mostly agree its a matter of jargon, the original author never calls their camera a DSLR.

Also yes while yes many cameras do not have moving shutters, they still operate with an electronic shutter which just like a moving one does have various limitations.

I'd argue though to many a photographer, calling any ILC or sufficiently costly camera a DSLR is akin to a post calling an android phone a linux phone. To the layperson the nuance between ubuntu's kernel or a pixel's doesnt matter to them, however to the intended audiences it sure does.