Do you notice that almost all little kids naturally grab the club switch handed?

What I mean is that a right handed kid will usually grab the club with his left hand low, and a left-handed kid will naturally grab the club with his right hand low
Like this


I’m assuming it’s just easier for them to hit it that way, I’m talking about young kids who have never been taught how to play, like a 2 or 3 yr old. I just thought it was interesting, is it easier to hit the ball like that? When do they learn to switch their hands? I’m assuming once they are old enough to be taught, do you think learning cross handed first hurts them in the long run?

I’m basing this on watching several kids pick up a plastic club and swing, all of them put their weak hand low.