To get low pressure, one needs a larger case than necessary, which requires a larger, subsequently heavier, more expensive action with a longer throw - normally.

In concert with the lower pressure comes more recoil energy, although it is usual to be at a slightly lower recoil speed (due primatily to lower pressure).

Since you are dealing with a modern rifle, there is no need for low pressure ctgs. today, if a standard ctg. fills the gap - however, there is always a "need" if one wants one regardless.

More costly dies & brass, a quite narrow and expensive supply bullets are also requisite for the .404 Dakota, .425 Express or .404 Jeffery.

However, for a wildcatter, sometimes one just WANTS something different.

The .416" bullet of course, has a higher SD and BC than the .425" versions, which, with modern Premium deep penetrating bullets, is not a valid argument - depending on availability, of course.

With use of today's powders, low pressure is a non-argument and has negatives attached, like size, recoil, cost.

The more it costs to shoot, the less it will get shot.