I might be totally missing the point here, but I've always believed that a bat is either pressed properly, or it isn't.
Every bit of wood has an optimum range pressing wise, which is where the skill of the batmaker really shines through from my experience. I've had the odd request for 'soft/under' pressed bats, but have always just advised that all bats are pressed to the expert opinion of the batmaker(s) - at the end of the day they know what's best!
Yes you get bats that are 'hard' and 'soft' pressed, but surely these are just another term for 'over' and 'under' pressed? Please do correct me if I'm missing the mark, but that's always how I've been led to understand the pressing debate.