That sounds delicious! What is the purpose of the baking soda, do you suppose?
I also make something similar, but use a small amount of sugar in place of the carrot for sweetening and use some balsamic vinegar and red wine. Also all olive oil, no butter. So maybe not so similar after all.
But same general concept. Maybe next time I make it I will add some butter, but probably not the full six tablespoons.