Yes Ogletree, the product pages are all on my site - but the buy button goes straight to the shopping cart site (it's .cgi page, at least).
I started thinking about having multiple links like this on every page, and wondered if it was 'hurting' me a bit. Ranking has always (knock on wood) been pretty decent, but if this has been a negative, correcting it would/should provide a little extra 'oomph'.
One thing that may or may matter - the page (and the way we link to it) is an http page (not https)....it does change to https during the actual checkout process.
The .cgi page on the cart's server has a Pagerank of 5, and is showing thousands of links to it in Ask, and tracking those links back, the majority of them seem to be coming from product pages of various merchants.
Yahoo shows the same. Even Google shows a few backlinks to that page which are from another merchants page where the link can only be coming from the url inside the form.
I'm not smart enough to know (or to be able to test) to see if Google and the other search engines actually 'count' those links.
***I assume I can't post the exact URL (and name of Cart Company) here unless a mod decides it's worthwhile as an example to for clarification, but I can sticky it to anyone that wants to look at it further.***