What a weird and oversimplified stereotype to comment on. My wife picks up spiders and puts them outside so they'll take care of the pesky flying insects. My grandmother used to gross me out by killing huge bugs by swatting them with her open hand then picking them up to put them in the trash.
OTOH, there was a single lady who moved in up the trail from us who called 911 to get a spider out of her bathroom. They killed the spider after they were done treating her for hyperventalation. She wasn't "professing" anything, she was terrified. She moved out a few months later.... the country wasn't her cup of tea.