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I've always used 301 permanent redirect - 302 is temporary redirect. Never had a problem with 301, but on a site they work with they just redirected another domain name to the site (with 302) and Google has both domains with the same homepage now.
It's probably not that at all with yours, but with the update any time now, I'd get the redirect going to the new host as soon as possible.
I'm not sure I understand why you're redirecting someplace temporarily.