I never kill spiders. I remember when I was about 8, I went down to the basement where the washtubs, washer and dryer were. I saw a green garden spider with a leg span about at least 3 inches in the washtub and ran up to tell my mom. Oh, that's my spider. Then she explained that my grandfather had a degree in agriculture, as well as being a government lawyer in the GSA, that you never kill spiders since they will keep all your other pests down. So, that legacy was passed down to me.
Other pests? So, spiders are the lesser of evils?
I don't like spiders in the house. If you let them go crazy you'll have spider webs everywhere and you'll wonder if you're in a house of horrors, spider webs will get on your clothes, hands, whatever. They'll drop down from the ceiling on their para-webs right in front of your face.
And there's the few very dangerous spiders. We have Black Widow and Brown Recluse around here. They specialize in dark relatively inaccessible places but they aren't especially recognizable sometimes, so creepy. A bite from them can be serious.
In the yard I mostly leave them alone but there's a large species that used to set up shop in my yard this time of year and into the fall that would make gigantic webs that were hell of annoying and just anywhere. I hope they don't make a comeback.