Lacquer from the lac insect is definitely true lacquer, since that’s the source of the name of the substance. Etymologically the English word lacquer is ultimately derived from Sanskrit lākshā (लाक्षा), which was used for both the Lac insect and the resinous secretions it produces. (Literally, laksha means ten myriads).
But anyway, thank you for the link, I didn’t know anything about urushiol lacquer and spent nearly an hour down the wikipedia hole! I even learned new things about the Rainbow Body of Light, which was a very unexpected connection.