I agree that there is a relation between the number of common names in iNaturalist and the use of the platform. But most people are too busy to add them… But does my reaction answer your question? What statistics you mean?
names=common names?
names=contributor? I do not get it.
https://forum.inaturalist.org/t/run-job-to-associate-translated-common-names-to-places/3964
About common names for lexicions without a languague and without a place.