Well made points, Touty, based on knowledge and experience rather than emotion. I wasn't aware of the differences between red and grey that you point out, although it was obvious that there had to be such differences for the current state of play to have arisen. If I hadn't seen the vast numbers that can survive in a small area without control, I'm not sure I would be thinking the way I am. In the woodland I am referring to the only word to describe them is an infestation.
I suspect, too, that we are, through our use of unprotected bird feeders, keeping them at unnaturally high levels. It's sadly ironic that we should be helping to create a burgeoning population of a species that predates so heavily on birdlife.
The idea of culling seems repulsive in so many ways, but when our activities lead to infestation by a species, whether they be mice, cockroaches, rats or squirrels, we surely have to do something. I'm disappointed that some kind of chemical sterilisation can't be employed rather than killing, but I'm sure it would be if it were feesible.