That's one talented dog.
I run into spiders all the time outside and generally leave them alone unless they're black widows, in which case, they get smashed. Those pix of the bird eaters show really huge spiders like the creepy giant man eating ones from the old Tarzan movies. Yuck.
My husband hates them, fears them, so in the house, they have to die. He freaks. We were picking berries in the fields and there were Olympic sized spiders as well as small field spiders. Some fell in the berries, and even though I washed them, one or two might have made it into the berries that got washed and cooked and turned into this great brambleberry jam that he loved.
I began calling him "spider breath." He didn't like it.