"Well-supported" is not a claim. What are your outcome measures, and why do they represent a good target?
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I carry a mobile computer that can answer just about any factual question or perform any calculation I might need. The key skill is determining the nature of an answer or result that is applicable to a complex, real-world situation, and we do not even attempt to practice that.
Memorizing the times tables grants a certain amount of speed that's useful for later occasions when you do by hand what you'll never again do by hand as an adult, but for many kids it's the first of many rote tasks that renders them virtually allergic to math for life. Bad trade.