The size of company you work in doesn't matter beyond a certain fairly small size. The only way anybody could work with hundreds of people at all (and have a justified informed opinion about them) is to have a long career in a place or places with very high turnover.

Professors might hit those numbers because having informed opinions about their students is a large part of their job and they see large turnover by definition. Directors could have a chance, but even there I'd say hundreds is actually unusual, unless your standards for quality of opinion are low.

And then that's all people, not just H1-B holders.