The evidence showed they significantly reduced the spread of Alpha but the data is still incomplete for Delta. At this point it does look very likely that the vaccines are less effective at stopping the spread of Delta though they still do likely prevent some spread. However, the vaccines remain highly effective at preventing severe illness.
Here's a great explanation:
https://www.npr.org/2021/07/31/1023243846/q-a-whats-different-about-the-delta-variant
This explains how Delta is infecting vaccinated people but why the infections aren't as bad and why there are any fewer serious infections among the vaccinated.
Talking about the decreased serious infections for vaccinated people is irrelevant to the discussion on whether or not they are spreading and contracting at the same rates.
The Delta variant is producing the same viral loads in vaccinated and unvaccinated.
But we should also completely ignore how vulnerable vaccinated people are when the efficacy wears after the 2-4 month period.
Natural immunity is the only way to go for the healthy population.