> The comparison is weird as we don't think with the Genome
The genome determines how your brain learns, so yeah we do. We don't solve short easy tasks via learning, no, but longer tasks that involves learning involves our DNA.
Learning also happens on the species level. The species "learns" (thru natural selection) which genes produces brain structures that lead to survival and reproduction.
Longer tasks that involve learning also involve caloric consumption and respiration, that doesn't mean we think with the sun and the air.