I have stood in front of a punch press for more hours than I care to think about. I might be able to lend some insight.
The photos that I have been able to find show the coin presses to be very similar to the presses that I have experience with.
The tonnage of the press is inherent, and is pretty much set at the press factory. The energy used to cycle the punch is stored in a very heavy flywheel. This flywheel is "spun up" to a certain RPM and then engaged into the mechanism to cycle the press.
Tonnage can be tuned if necessary by increasing or decreasing the RPMs of the flywheel. It can only be increased to the maximum allowed in the construction of the press, to prevent the press from "exploding". The flywheel takes a bit of time to spin up to RPM, I can't imagine that the mint would slow down the RPMs, and thus slow down production speed.
That is my theory, I have never stepped inside a mint.
Daniel Carr has a press that is rated at 400 tons. That is an enormous amount of pressure to work such a small piece of copper such as a cent.
What is adjustable is the stroke location. The stroke itself is not adjustable, it will be set at (for example) three inches. But the open height and shut height is easily adjustable to obtain the amount of compression of the cent.
The lower part of the press (the table) is not easily adjustable.
So at 400 tons we have what is nearly an unstoppable die. It smashes the upper die into the fixed lower die.
I would consider that the operator adjusts the shut height until the desired result is obtained. If (as in the case of this cent) the relief is too deep to properly fill, then the planchet should be made thicker (not going to happen) or the dies should be modified. This modification to the dies is what Brad discusses above.
Again, much of this is theory, based on my understanding of punch presses.
Perhaps Daniel will chime in. I believe he is a member here. Perhaps.
Oh, and as strike is important to grade, I would venture a 63 on this cent at a
TPG. I would submit that the TPGs are not too concerned with WHY the strike is soft, or the deep recesses are not filled, just the result of such on the coin.
Though Brad is infinitely more knowledgeable than I as concerns Lincolns.

If he says it is a 64 then I humbly defer to his knowledge and experience. Edit: Oh, I see Brad is at 63 as well.
Brad, is this one going to the graders?