100 grams white rice, short-grain, raw provides:
358 calories - 79 grams of starch, and 6 grams of protein.
23% daily RDA of iron (as it's non-haem, the body will only absorb up to about a third of this depending on its needs)
21% daily RDA of niacin
38% daily RDA of thiamin
58% daily RDA of folate
13% daily RDA of pantothenic acid
10% daily RDA of copper
52% daily RDA of manganese
22% daily RDA of selenium
Nutrition Facts and Analysis for Rice, white, short-grain, raw
I'm only listing micronutrients at 10% RDA and above.
Hence, white rice is not empty calories. Coconut oil, with all its benefits, is totally devoid of micronutrients. That's certainly empty calories when consumed in excess of daily medium-chain fatty acid requirements.
Butter and olive oil also have fewer micronutrients per calorie than white rice.
That said, white rice is not nutrient dense, so I wouldn't recommend it in quantity for anyone consuming much less than their recommended daily calorie intake for maintenance, i.e. someone on a low-calorie diet, especially if they are not very active. Sweet potatoes and white potatoes are more appropriate, nutrient-dense sources of safe starch (provided no deadly nightshade intolerance in the case of white potatoes).