Earlier quoted context omitted.
The difference is in Korean or Chinese you need to do it with all nouns that you're counting, unlike English which only reserves it for measuring mass nouns or clarifying between nouns, etc. They way they function is also different, so I would treat them as separate grammatical concepts.
> The way they function is also different, so I would treat them as separate grammatical concepts. That would be a good argument, except that the way they function isn't different.
English: measure certain mass nouns or classify certain nouns. Not used for counting every noun.
Korean: Always used, regardless if they measure or clarify. Six dogs, three months, two papers, four volumes, one bowl, ten things all use counters. Always.
The difference is night and day.