It’s going to vary by region, but the spiders I get in my house in England include:
House spiders (Eratigena app) - habitats include houses, but also outbuildings, wood piles, hollow trees, dense vegetation.
Crab spiders (Misumena vatia) - I sometimes find these on my houseplants; they live on flowering plants and would probably prefer to be outside.
Cellar spiders (Pholcus phalangioides) - these probably don’t do well outdoors as they are not native - originating in the tropics.
Zebra jumping spiders (Salticus scenicus) - these live on the walls outside but sometimes find their way inside. They probably don’t survive long if they get stuck INdoors.
Probably a dozen other species and maybe a few of them are only really capable of surviving inside a house, but it’s not the general case - but “Some of the spiders you put outside probably died” isn’t so clickable as “Every spider you put outside…”.