I had to ask my mom about this one!! ROFL!! Because our Santa gifts were NEVER wrapped. I had no clue why...so I asked her. Her answer, Santa gifts aren't wrapped because if you watch some of the holiday specials & things...you SEE the toys in Santa's sack, you'll see a teddy bear or dolly sticking out of the sack, not just wrapped presents. I never thought about it but she's right!
I asked because someone was talking about how Santa uses different wrapping paper & I never gave it a thought because Santa never wrapped them. Besides that would slow him down in delivery, making sure he got the right presents for the right person in the right spot. If he can see them, he would know the skates were for Suzie and the sleigh was for Johnny.
NOW...in the house I grew up in, it was really easy to deal with, we had french doors in the living room & those were closed on Christmas morning. You didn't DARE open those doors until everyone was awake, so you could eat breakfast, etc... before the doors were open.
In our house, we don't have that luxury -- we have a loft, originally where we had our tree all the child had to do was look over the railing & would have been able to see what they got even before me getting up. That wouldn't have been any fun for ME....so Santa wraps gifts here.
Although they each have a "spot" on the couch/love seat where there stockigns are/their annual book & the Santa gift is located at. All other gifts are under the tree. Santa has been known to use the same paper as we do.
IF I had a house like the one I grew up in, Santa would leave his presents unwrapped.