Now that seems really "slow".

Is that 3,000fpe required at 100 yards or meters - not the muzzle?

The reason I ask, is that my little weak actioned 9.3x57, a M94/96 Husky, gets over 3,000fpe at easily less than 50,000psi (.0005" case web expansion from sized) Even the little 232gr. & moderate load with 285gr. almost makes 3,100fpe.

2,350fps with a 250gr. will make 3,066fpe, same fpe as a 285gr. at 2,200fps or 232gr. at 2,450fps.

My 'slow' by accurate .30/06 with 24" bl., which was a Model 30 Remington ie: sporter P-14 with P-17 bolt and new barrel, was a full 150fps slower than any load in Speer's manual at maximum pressures. I re-chambered it to .300 Winchester mag, hoping to get .300 H&H ballistics from the 'slow' barrel, only to find it turned into a quite fast barrel that would no longer shoot 180gr. bullets, but loved 165's. The FailSafes ran 3/4" at 3,265fps with 75.0gr. IMR4831, while the same load with Nosler Partitions ran 1/2" to 3/4" at 3,365fps. I used Hodgdon data, starting low and worked to a useable max.
Because it was quite accurate before the re-chamber, I can not understand the difference re-chambering made.

This has little or nothign to do with the .416 Taylor, but might explain something about slow and fast barrels, maybe not. They are a world unto their own.