You don't realize how long the 213 is until you actually reload one. It barely fits into the magazine and it's seated as deep as I feel comfortable with. Definitely going to be into the Lans.The 213 Hammer is a loooong bullet. Take a look at the specs. I am looking at the 225 Sledge for my 338-06, as the 213 is just too much.
We have been using a 150 TTSX in a 7mm Wby for years with great penetration and performance on elk. Even the 130TTSX in your 270 would be fine.