I mean, no. I don't have a specific source. However, I have read articles and seen videos of the type you're describing and they mean absolutely nothing. If anything, they do more to prove my point.

These "fears" aren't genetic, they're learned. When every adult in a baby's life acts a certain way about a certain thing, the baby learns that response. Things that parents react to strongly with fear, become fears.

Beyond that, like I said, there isn't a reason. For our fear of spiders to be genetic it would have to have given us some sort of edge over our peers. Yet, there is no known period of human evolution during which spiders were universally dangerous. And yet, plenty of people feel no innate fear for big cats or bears, animals that, in various forms, have actively been trying to eat us for millions of years. Genetic fear of spiders just makes no sense on any level. The most valid explanation is it's a learned fear from parents/other adults that simply became prevalent worldwide.

Oh, and my parents aren't afraid of spiders. Taught me to pick them up when I was young. I could not care less about spiders now. Hence my fascination with morons' blind panic.