The 338LM is now a tested rd for pressure vs velocity. As was mentioned, it is very well documented that 2600 to 2700fps is MAX at magnum pressures in standard test barrels.
Usually, that is 26". They should list the test barrel length with the load data. Max pressure should be in the 65 to 68,000PSI range.
Improving a case will increase case capacity. Unfortunately, the increase in a 'modern' cartridge is not that much. Ballpark 3 to 7%.
A rule of thumb is that there is a 3% increase in velocity for a 12% increase in powder consumption - all things being equal.
Pushing a 300gr bullet to 3000fps is most definitely achieveable. You either go longer barrel and/or burn more powder.
There are a number of wildcats that are making this happen and some going faster.
Just remember that conventional pressure signs will not show up in BR tuned actions.
I have proof load cases that show ZERO signs of pressure. These were set to achieve at least 75,000 to 80,000psi
Jerry