Hi Donna
Thanks for sharing the link to the Q+A about this question - my confusion was in the language of "site" vs "page".
"I'm of the understanding that if an external site has more than one link going to your site, then it is only the one link that passes value."
If we are talking about one "page" with multiple links, then I can understand Google's counting one link from that page (although again, this is the first time I am hearing about it), but "site" is a harder pill to swallow for me in only counting one link - hence my confusion.
I would also ask why do you need multiple links from one page pointed to your site? To me, if that's happening multiple times across different websites, this could potentially trigger spam filters and look like a link scheme or manipulative link building, especially if linking pages are irrelevant to your content or website, or over-optimized anchor text.
Just my thoughts - good luck!