It depends on the character's personality, really.
Diversity is always good, and from your list I can see that any battles you write up will be very diverse indeed. However, you seem to be focusing more on each individual's strategic points rather than a unique characteristic in how they fight.
As suggested, Absol can easily be the "Lucky" fighter, seeming to pull through an otherwise failed situation thanks to Super Luck, but that doesn't leave much to the imagination, does it? It actually sounds a bit Mary-Sue and incredibly cliche.
Instead of focusing on a way to make Absol unique as far as her attack combinations or abilities, what about the execution of her attacks? Will she simply charge in and strike, or sneak around to lay a preemptive blow?
Also, imagine reading these battles from the perspective of someone who has no idea what your characters are like. You clearly know everything about Absol, or at least have a general idea, and are therefore able to understand why she fights the way she does and in your head, picturing the battle is clear as day and completely epic. But, to a third-party reader, they may look at Absol's battle style, or any of your character's for that matter, and find it boring or cheesy.
I'm a bit all over the place with this, but here's my suggestion: Imagine a way of battling that can be easily described and pictured and can be made uniquely Absol's. For example, maybe she's more limber than the other Pokemon, allowing to not so much charge in for an attack, but almost dance, as if her battles are long-drawn-out dance numbers and each move is a calculated part of the whole.
Sorry. I'm a bit of a scatterbrain as a writer, but I hope you got the gist of what I was saying.