The Kick-Eez and the Limbsavers are the best.
But the answer to your question is NO. Even the best recoil pad will not reduce the felt recoil of the .338 Mag to a .30-06 with 180 grain bullets and no pad. It is still going to be significantly more recoil.
Also, the recoil pad only helps cushion the direct rearward motion of the rifle. As one person has alread noted, that .338 is still going to jump upward, and slap you very hard in the face, unless you have a good cheekpiece on the stock and a real strong weld of your cheek against it.
In all honesty, I think you would be much happier with a .35 Whelen than a .338 Mag. The Whelen, fitted with a top grade pad, will be very close to the recoil of the .30-06 with no pad, and will do absolutely everything you need to do out to 200 yards. You will be comfortable shooting it, and be able to deliver fast follow-up shots as needed. The .35 Whelen is, of course, the .30-06 case necked open to .35 caliber. It is a very effective caliber and a hits like a sledge hammer.
Just my thoughts.
Mannyrock