408 hyd roller, too much spring pressure?

If a greater mass stores more kinetic energy, then at some point it needs to release that greater energy. Sometimes that greater energy is released at an inopportune time, such as when the valve has already closed. This relates to harmonics, or oscillation of the two massed springs.

View attachment 1715979472

That graph basically only shows a difference in spring rate, because conical are non linear. The resonance is still the same, and the loads will be more difficult to hit.

In a perfect work, a conical or beehive would have a wire diameter that varies with the od of the coil, that's the only way to keep the stress along the wire the same.
Again, spring engineering is hundreds of years old. Literally nothing new under the sun. There are calculators for all this.