I'm not really sure what you mean by this? In my experience redesigns occur when new features are added, major updates, or changes to the team (whom chime that something should change). Yes likely everyone will redesign at some point, but to do so just for a test?
Based on this article, only larger changes should be done by smaller startups. But smaller startups have less resources to throw at larger changes. I mean, what of we're not planning on redesigning our web page?