Achieving the bare minimum rating in each minigame is purely for entertainment purposes. Calculating the minimum # of taps is still the top priority. I didn't even realize about the Perfect Champaign feature until halfway through development.
The RNG in Big Rock Finish does not need to be manipulated, since it only determines the order of each section. What does need to be manipulated is the "invulnerability period", or "cooldown" as I would call it. The cooldown always starts with a set # depending on the leniency of the minigame. However, the subtrahend is RNG dependent for every frame. This basically means that by manipulating this RNG (by pausing and unpausing the minigame), the cooldown can last longer by about two frames; which, under the right circumstances, can save an extra tap.