I'm not into web design but I think the core problem here is lack of accepted terminology and even awareness that this type of font is a thing.
The article certainly brings awareness to something I didn't know is a thing but seems very useful.
My mind wants to say "weight invariant" or "style invariant" but those suggest the thing doesnt look any different rather than just the size not changing with other characteristics.
It's probably obvious that I don't like "uniwidth", but at the moment I can't think of anything better that isn't super wordy, like "font with style invariant width".