Hello Bruce, I'm afraid the 302 has nothing to do with the postback. The 302 is releated to the previous page (http) accessing the page not doing postbacks.
To test is, try secureing your Host Settings page, then attempt to clear the cache under performance, or just update the page. You'll find that both of those command links are dead, however the cancel links work.
If you'd like, you can test drive it, I'll create you an account to do so and put your provider in. Let me know.