In general, Target or Match bullets usually have a heavier jacket than hunting bullets. Hunting bullets being thinner in the front end to promote expansion. Target bullets are made with heavier jackets up front so that they will not "blow up" in flight giving a competitor a miss during the match. With today's modern bullets, blow ups in flight are so rare as to be non existent. The folks from Berger have told me that their Target bullets are heavier jacketed but that all bullets are made to provide match grade accuracy. Hope this helps some.
The "heavier jackets on match bullets" is a misnomer, or at least not always true. I can't speak specifically to the Berger bullets, but the Hornady bullets are exactly the opposite... thinner jackets on the match lines and heavier jackets on the "hunting" bullets. We've hunted with match bullets for years. They tend to be softer and expand more quickly. Can pose problems with explosive expansion and less penetration at close ranges (but still usually results in an efficient, albeit messy kill), but also means more reliable expansion at extended range. A worthy trade-off for me, anyway.
My understanding with the A-TIP bullets is they're essentially the same jacket as on the ELD Match bullets. My New mexico antelope was taken at 690 yards last year with the 135 A-TIP.