You could view Chinese nouns as all being mass nouns like English "sand". In the same way you can't say "one sand", but need to add a counter as in "one grain of sand", in Chinese you can't say "one book", you have to say "one volume of book" (一本書).

Sure, you can make distinctions between "classifiers" vs. "measure words" vs. units of measurement, but it feels like the same construct to say 一位人 ("one person"), 一群人 ("a group of people") or 一斤人 ("half a kilo of human"), as grisly as the last one may be.

I firmly feel that, despite being distinct from measure words, they are close enough to English concepts that it isn't really hard to relate to and learn. Gendered inflections are far more inaccessible to me as a native English speaker than counters ever were!