Your actually darn lucky with the .338 if your bullets simply climb a bit, as you use lighter grain bullets. I wish all my rifles did that! I usually find they move around.
As mentioned what your getting with the .270 is typical. Fortunately, I have found that my 30-06 will shoot, with the same load, the 180gr Swift A frame, the 180gr Nosler Ballistic tip, and the 180gr Nosler Accubond, and all shoot the same patterns. If I put a Speer 180gr Boattail, with the same weight powder, primer etc. as the others, it shoots low and 7" to the left..go figure..
Like Doug says, find the right load combo, and youa will seea the light..