Chris, where are they thicker? IF at the front and rear edges (where they meet the frame) they are current variation repos. Hugh Clark on our forum is a master Grip refurber. He has done MANY pairs of grips for me and he can make them look brand new. His email is hhclark@academicplanet.com He is the only guy that works on my Luger grips, he is simply the best!
Thor's Luger Clinic