No I dont agree that he needs spraying.
The garden is the right place for the spider to live. He will eat insects and maybe even save the plants in the garden that might get eaten by those insects. When I see a big spider in my house, I do my best to catch it and put it in the garden.
Every creature has a right place to live, even snakes, sharks and other creatures that can be dangerous or nasty. They all have a place and a purpose on this earth of ours
