Yes, very clearly a virus with a higher R value causes the percentage of the population required for herd immunity to go up. This is how science works. The R value for the original COVID was around 2.5; the R value for the Delta variant is between 5 to 9.
you are using data and that that is designed for the random spread. Viruses do not spread at random. The go through the those with high contacts and high transmissibility. We have seen that there are superspreaders while most only spread to 1 person or less. Anyone with a brain knows that what you are arguing is bullshit. Now... is the math for delta different than for previous variants... probably.. it may take more people. Rather than around 25% "testing" positive in an area it may take more.
this is the science and data... even in the labs many those studies... comment that the air and virus get around the masks and that virus collects on the front. Dirty masks have contributed to the spread... is the only fair conclusion.. And masks get dirty fast if you see how hospitals had their people change masks when seeing new high risk.
Seeing that these hospital medical systems have thousands of employees... and only 10 or so people in the crowd are actually employees.... these medical systems now know exactly who to fire.