As i've pointed out in a few discussions, the law does not (and generally cannot constitutionally) require you to actively lie about something (IE compelled inaccurate speech). It can require you to not speak about something, compel you to speak truthful things (as a disclosure or otherwise), and require you to not tell someone something, but cannot require you to tell them something that is a lie.

AFAIK, Lavabit was forced to not disclose something to their customers, which fits in with what I said.

There are actually fairly important distinctions, legally, between different types of speech, and important legal distinctions between compelled speech and lack of disclosure. So you can't really paint all of these things with the same brush.

(note: The above is about the US, someone asked me privately, and I have no idea, about other countries)