Is there a way to change the BlockTags for the minecraft:wooden_pickaxe to INCORRECT_FOR_WOODEN_TOOL to INCORRECT_FOR_STONE_TOOL? I thought the easiest way was to overwrite the registration using the same item key but that isn't supported.
Not sure how to do that, but if this is the specific case you need, could you just change the tag incorrect_for_wooden_tool.json to exclude the needs_stone_tool stuff?