Our 2 year old would have had great fun playing with a "ba-ba" (spider) of that size. Unfortunately the spiders always come out of such playtime worse off!
Relevant comment Clubman - you obviously don't actively discourage insect/spider contact with your 2 year old?
Can't help thinking that most of the above negative attitudes stem completely from the "EeewwOhmyGoddon'ttouchthatit'sdirtybadbadwashyourhandsdiseases"
...type of parenting