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I’ve poked around the database some and I know there’s a record in the wp_options table prefixed “theme_mods_”. The child and parent themes each have their own record, and I have experimented (unsuccessfully) with transferring/copying the parent theme record so that the child theme_mods_ record has the same option_value as the parent. I can make minor tweaks to the option_value field (like the name of a font for instance), but the wholesale replacement of the child mods with the parent mods results in the whole option_value field being blanked out.