I don't have a diagnosed phobia of spiders, but I do HATE them. Pictures usually don't bother me, but I can't stand to look at a picture of somebody holding a spider or something similar to that.
That being said, I've never had any problems with the spiders in this game. But to someone who has a phobia, I don't know. Despite what other people have said in this topic, the spiders in this game look VERY real to me. The exaggerated details might even make them look even more scary, tbh.