Should Babies Be Naked on the Beach?

Now before you go calling me a prude, my problem isn't with the nudity per se.

Instead, when I first saw this pic of Jillian Michaels and her new daughter, Lukensia, I thought, "Gosh I hope she has sunscreen on." And I have no doubt that Jillian rubbed her little girl down, but when they're this young, shouldn't they be covered up at the beach? Their skin is still so precious and the sun's rays can wreak havoc.

I'm not doctor, but I am a bit of a sunscreen/sun protection Nazi, so it always peeves me a little to see naked babies at the beach. Not because I don't appreciate a cute little toddler tush, but because it hurts me to think what the sun is doing to their skin.

What about you? What's your take on naked babies at the beach? Are you sunscreen and rashguard mama like me or a complete sun worshipper?