You see, "deez nutz" are from a vine that gets really old really fast. It's easy to tell the person using it is either A) 10 years old or B) just found out about the vine and doesn't want to feel left out regardless of realizing that it's over 6 years old now. "these nuts" is a much more sophisticated and usable joke and isn't downright childish. You can have so much more fun with it, and actually make it enjoyable for listeners
Little Timmy: hehe DEEZ NUTZ ehhehehehehehe
Nacho Libre: Go fucking kill yourself