I've been shooting the 160gr TTSX in my 338-06 with 60 gr H4895 and Fed 215's 3.292O.A.L (just covers up the top cannelure). MV averages 3109fps in the 23" tube. Accuracy has been less than 3/4 moa out to 400 yds. Recoil is very reasonable.
In my opinion the .338 cal Barnes 160 gr should perform with, and perhaps outperform the heavier .338 TTSX's with a shot to the vitals. The 160gr TTSX will create a larger wound channel due to its higher exit velocity. If a bullet stops on the hide on the far side of an animal, the last few inches of penetration have not been very violent, and thus will create less tissue destruction or wound channel. If a bullet penetrates both sides of an animal the last few inches would have had more speed and created more tissue destruction than the former.
I also believe this is why the .338 caliber 160 gr TTSX will outperform the equivalent velocity .308 caliber 165 gr TTSX. Wound channel size. (Although the .308 caliber will have a better LR trajectory).
I think this is why Gatehouse loves his 375 Ruger.... Wound channel size!
Speed kills(with Barnes), as does exit wounds, this is written throughout my Barnes Reloading Manual.
As far as experience, I have only taken a good size black bear with this load, and I never found the bullet. The bear dropped in its tracks