My 'Status' message on WhatsApp has been "Let's switch to Signal: https://signal.org/install" since January 2021 and I've checked periodically (including just now) and it is visible on other people's devices.

My profile picture is my own face, though. Perhaps, as other people have said, the restriction being applied by WhatsApp is related to your choice of image more than the text?

Screenshot: https://imgur.com/5c1rQyM