Topic on Talk:Statistics
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Forgot about those templates. So I was partially right, but not entirely.
What I got right: Base stats are indeed the same, as all of the Base Classes have the same base and incremental values as each other.
What I got wrong: All stats got equalized for Base Classes and not just the Attacks, and Class Advancements do have unique multipliers for each stat with the exception of HP, which is the same across all advancements of the same stage (I'm assuming because passives, but it's still kinda weird that this is the case), but they don't increase the values for the attack stat of the opposite type.
So not quite per character, but per class path.