Unfortunately, far too many foods are alien to me. This one looked so benign that I had to give it a try. I did a google image search of 'Danish pastry' and I suppose that is what I ate...except there wasn't any white splatter all over it. Is that still Danish pastry?

Sort of. I believe the technical term is "Danish without white splatter". You may want to request a "Danish WITH white splatter" just to see what you are missing. Mind you, do NOT go throwing white paint on your "Danish without white splatter," you will not get the same taste effect. I have a feeling you are adventurous with your food (i.e peanut butter and cup-o-ramen), so that is just a heads up.