This is misinformation, immunity works like it does for everything else. The virus is new to us, not magic.
Worst case scenario (of people acting on my previous comment), people believe they can be reinfected and would practice further physical distancing. That does not seem malicious, but hey, I might be wrong.
Think about it this way, if your mother was concerned and you said, "Don't quote me on this, but as far as I know, you can be infected twice", you can bet your ass she would believe you.
We simply do not know what this virus will do.
The Spanish Flu pandemic of 1918 came in waves, and they were different.