Why are AJATTers addicted to sentence mining and flash cards even though they know comprehensible input is the only way to acquire language?

Stephen Krashen says it himself: We acquire language in one and only one way: by understanding messages. Why, then, do AJATTers obsess over word lookups (not comprehensible input), sentence mining (not comprehensible input), flash cards (not comprehensible input), and even entertain the idea of grammar study/textbooks at all (not comprehensible input)? ALG has existed for, like, 40 years now and already figured out these are an ineffective waste of time at best, and permanently damage your language abilities at worst. Why waste your time with something you never did to learn your native language to chase the results of some people who never even became as good as a native speaker? Why not copy the natives themselves?