What if we get a status of 304(Not Modified)?

On an earlier step, instead of getting the normal 200(OK) response, I was given a 304(Not Modified) response, indicating that nothing had changed since the last time I requested the information. This is because I refreshed the page and requested the information a second time - since nothing had changed, the client (my browser) was redirected to its stored cache version and displayed that instead, which is presumably faster and more efficient for the network than sending the exact same data twice (far more so if the information sent was larger or more complicated than a short message).

Technically, though, even though everything is "okay" by any reasonable measure, the response code is not a 200, so the instruction to only load the content if the status code is 200 would fail. For that matter, there are other cases where the information is present, but elsewhere, so other 300 codes could also occur. Wouldn't it be within our best interest to keep these other codes in mind so that a simple redirect won't disrupt the request?