I rather think a fear of creepy-crawlies is taught, rather than inborn. I have a HUGE Rusty-Knee Tarantula for a pet. In fact, a spider is my Totem Spirit; I have one tattooed on my right shoulder.
One autumn day, when I was little, I was turning over rocks bordering the garden to see when was under them. I found what I THOUGHT were dead bees, & brought them inside to add to my collection of the strange & unusual. They weren't dead OR bees. They were Yellow-Jacket wasps that had merely been immobilized by the cold. My Mom was about ready to kill me when those wasps thawed out & started flying around the house!
When I was in high school, one girl picked up the seed pod of a cottonwood tree (they sorta like like fuzzy white caterpillars) & chased after another girl who was known to be scared of creepy-crawlies. The scarer made they typical growling YAAAAHHHHH sound that little boys make when trying to be fierce, & the victim screamed & ran. The rest of us laughed until our sides ached!
Actually, the typical creepy-crawly wants what every living thing wants...to be left pretty much alone & to live its life in peace in whatever way is natural to that life-form. There are some, however, like fire ants & africanized honeybees that have a low level of tolerance for disturbance, which is why they seem to be so aggressive.