Well, 1263, I don't agree, but, even if I did, then it would be (1) illegal; (2) impossible or ineffective.
How do you know that it would be impossible or ineffective? Councils have powers to control seagull populations by egg painting during the mating season thereby reducing the numbers. Would mutch rather see more cygnets surviving to adulthood than worrying about the loss of some seagulls
Up until they were protected (around the mid-70s) it was perfectly possible to control the Gull population.
Local people (generally several generations of the same families) would climb the cliffs (especially at Coryton Cove) using long ladders, which were kept on the beach, and collect the eggs which were then sold in local butchers shops.
Granted, a young chap I knew broke his neck falling off one (survived) but it did keep down the Gull population.