Of course vaccination radically reduces the ability of the vaccinated to spread Covid, 90% of them never get it. Sure of the other 10% that might get it some do and wow they can spread it. By the time you get past the IFs vaccination is astoundingly successful but the more vaccinated that are exposed to the unvaccinated the more of those 10% WILL get infected. This seems crystal clear to me and actually I'm surprised at how low the rate of "breakthrough" cases are (I think I heard < 1% but fact check).
So basically what you wrote is false. Except that vaccinated people also might hurt people. It's just way less likely than dor unvaccinated.
Same way as drunk driver has higher probability of hurting someone then sober driver, but sober driver might hurt someone too. Despite this we still have a strong stance against drunk driving. Which is reasonable.
Also, you may not have heard it, but I heard all over the place from "experts" that vaccinated people would not spread the virus.
So what if some people are wrong? They are being corrected. Many places didn't allow vaccinated to ditch the masks. And I think nowhere they encouraged them to take unnecessary risk.
[0] https://www.google.com/url?sa=t&source=web&rct=j&url=http://...
[1]: https://www.nbcnews.com/science/science-news/experts-back-cd...