I ended up with the Kelbly Nanook for my 300 Norma Improved just because I could. It has a bigger bore and longer throw. In fact the McMillan stock had to be trimed at the rear of the ejection port to match it's longer opening in the receiver so it would not cause ejection issues.
Remington built a 338 Lapua on the LA. Any distaste for doing a 338 Lapua, etc, in a LA Remington is personal since the strength is there. If strength were an issue for not using them we'd see pics of blown actions plastered on this and other forums. As far as I have seen any blown actions were user error, ie overloaded rounds.