Information takes work to produce, to filter, and to receive, and more work to evaluate it and (if genuinely new) to understand it. There's a strong case that information isn't a terminal value because it's not the only thing people need to do with their time.

You wouldn't want your inbox filled with all the things anyone believes might be information for you.

Another case of limiting information: rules about what juries are allowed to know before they come to a verdict.

There might be an important difference between forbidding censorchip vs. having information as a terminal value.