How to Control Interpolation or Easing of Keyed Particles

Keyed Particles does not generate keyframes.

Because of this, it seems that the interpolation can’t be controlled.

But since this is basically interpolated, I want different animation timing depending on the situation.

Can not Blender’s Keyed Particles feature control Easing?

I also wonder if this kind of adjustment is possible in a program like Houdini.

Thank you.