The 210 would not be my personal choice to shoot/hunt with the 338 Lapua. I look at that like buying a full size $60k diesel to tow a jetski. Can you do it? sure. I don't believe it is optimizing the potential of the Lapua case capacity. The low BC of the 210 TSX is going to drift a whole lot in the wind and it's going to limit your effective range. If you're not planning on shooting beyond about 750 yards, then you can do it, but then you also don't really need a Lapua to do that.
Run some numbers and compare wind drift of the 210 TSX compared to something like the 225 Accubond and see how they come out. While you're at it, throw in a few more bullets like the 250 berger EH, 280 LRX, 300 Berger and 300 Accubond. Once you compare some energy and wind drift numbers of the various bullets maybe you'll change your mind. Maybe not, but at least you'll have facts to back up your bullet choice.