When your cabinets were being built, They did not start out being made from wood that had a dark green stain.
After the cabinets, with NO finish, were assembled, then the dark green stain was applied.
Any type of chemical or mechanical stripper is NOT going to be able to differentiate between layers.
Strip the paint and see if you can duplicate the original finish.
To make the messy stripping process easier, some folks take all the doors Off, and take them down to a commercial stripper.
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