I shot some 338, 225 gr ttsx the other day. I loaded powder about 2% down from recommended book max. load. Shot 4 rounds at maximum magazine length and got about a 1-1/2" group. Seated next 4 shots .030" deeper and group shrank to 1-1/4". Shot 4 more .020" deeper still (which was about as deep as I could seat that bullet) and was a 3/4" group. Not really extensive testing but I've found that assuming the longest seating depth is seldom automatically the most accurate. Before I do extensive powder charge work-up, I now find a "rough seating depth" that bullet likes and then I work up powder charges in about 1% increments. You can fine tune both seating depth and powder after that. Generally I'll try to find a preferred rough seating depth in .030 or .040 thousandths increments first before I start looking for that magic powder charge. Since my rifles are for hunting I mostly need to load from the magazine so I mostly start at maximum magazine length but if your gun allows, you may want to start .015" off the lands and seat in deeper (shorter C.O.L.) increments until you find what your looking for. Which ever way you do it, one group should be noticeably better.
Note: When I say I start at about 2% below recommended book max charge, I make sure that charge is safe to shoot first by starting lower and working up.