:::::::"What the common man's meaning of Hindi is". That's an argumentum ad populum, a fallacious reasoning, and a reference to supposed common knowledge. Common knowledge means nothing and the common people are not experts (read the links). As for "Standard Hindi", you simply misconstrue what that means; the "Standard" is there simply to disambiguate which Hindi we're talking about. The "History" section is actually a very short summary of the standardization, exactly on-topic, and the essentials of the grammar and phonology are simply those shared with other forms of Hindustani, so pointing the reader there makes sense.