Nah, insecticides often do nothing to spiders. Best bet is to dose them with a nice, soapy water solution. It coats their spiracles (their version of lungs) and suffocates them lickety-split.
My general tactic is to spray (especially flying things with stingers) with something and then step on or hit with something else. The spray is just the first strike.
And no “Carrie” resurrections, they go in the trash (wouldn’t want a bird eating a poisoned insect).