Our site is built with Pods CMS Framework and therefore includes custom data types. We suddenly started getting mysterious redirect loops when accessing specific pages. Deactivating the Redirection plugin turned out to be the answer to the problem. Detecting the problem wasn't at all easy since the pages with the redirect loops had no relationship whatsoever to page redirects we'd set up under Redirection. But apparently, Redirection has been known to clash with custom data types for quite some time.
All we want is simple, reliable page redirection. We don't want a plugin that interacts with - and disables - parts of our site that it hasn't been asked to touch.