This is partly a redirect question and partly a link building/Penguin question.
My company partners with a lot of other companies in our niche. Their sites contain links to our sites which, for new users (if you're not already cookied), lands them on a cobranded page. Some of their sites link to our site in this way a lot. When requests for the URLs being linked to hit our server, we redirect to a different URL that strips out some of the parameters in the original URL, which are there for tracking purposes, since both we and our partners want to know how many people click through.
The thing is, that redirect we perform is a 302, and I'm pretty sure that means we get no algorithmic credit for the links. I'm thinking that if we were to switch it to a 301, there would be quite a flood of link juice to our landing pages. So question 1 is whether I'm correct in that assumption: will changing the redirects from 302 to 301 allow those links to pass PR?
Question 2 is contingent on the answer to question 1 being a yes, since there would be no point in asking it otherwise: would the sudden appearance of a large number of links like this cause the appearance of something unnatural? Google has known about the links all along, but the change, as I see it, would be sort of akin to removing nofollow from them. And we're talking about a lot of links. According to Majestic, the 6 pages with the most of these links have a total of over 200,000 pointing to them, some of them from the main navigation of partner sites.