You are such a good person that I would never ask you to change.
or,
you are such a good person that I wouldn't ask you to change.
Are both correct and mean the same?
They are both correct. They mean about the same, but "never" has a stronger emphasis that you won't do this at any time in the future.
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They are both correct. They mean about the same, but "never" has a stronger emphasis that you won't do this at any time in the future.