I opened my own signup link and it took me straight to my own intake form. Is the link broken?

The link is working correctly. Because you are already signed in on that browser, the platform recognises you and drops you into your own intake form instead of showing the new client signup screen. To see what a client actually experiences, open the link in a private or incognito window, or on a device where you are not signed in. Anyone who has never signed up will get the proper onboarding flow, so you can share the link with confidence.