It always gets me that some people forget two things.
1. That
http://www.accurateshooter.com/ has a home page full of information.
223 Rem + 223 AI Cartridge Guide (they even give you case weights)

http://www.accurateshooter.com/cartridge-guides/223rem/
2. If you reload you must have your own scales to weigh your cases.
3. 5.56 Lake City cases are not heavier and thicker, they are harder and lighter than most commercial cases.
The 5.56 NATO cases must pass milspec hardness requirments.
And it goes way back to the testing phase of the M16 rifle and its jamming problems.
I have over three five gallon buckets of .223/5.56 brass and I know what each brands weighs and I would never ask the question you just did when the brass is sitting right in front of me. ???
Think twice before asking questions from strangers on the internet.
Proof that everything on the INTERNET is true. (watch the video)
http://www.youtube.com/watch?v=rmx4twCK3_I
Now for the first time at Accurateshooter.com the latest medical information.
Today Doctors at the Mayo Clinic discovered that orange juice causes cancer in gay rats.
(honest and you heard it first on the internet so it MUST be true)
I just love the internet.
I feel better now I got that off my chest.