Is it considered a lie for a user on dating sites to constantly appear "offline," even if they are connected to the internet?

It is permissible to choose the phrase "offline" on some websites if a person has a legitimate interest in not revealing themselves, and does not harm anyone, and does not commit a religious prohibition. This is because it falls under the category of insinuation, which provides a leeway from lying, especially since this option is known to everyone, and they are aware that it is possible for someone to be present but choose not to appear.