After giving your question full and dutiful consideration, no. The TSX would way-over-penetrate. Style points will be awarded for bullets that end up under the hide on the far side.
On the other hand, if you killed multiple dinks with one way-over-penetrating TSX then...?
I think I can handle that.
Whatever a 7x57 can do a 270 can do better.
True fair chase is you in the woods buttnaked with nothing but your finger nails and teeth.
If you'e fixin' to put a hole in something, make it a hole to remember.