Stability and replication are necessary but insufficient conditions for a hereditary polymer to qualify as a biological system. To participate in evolution, a genome must support heritable variation, differential fitness, and adaptive exploration of genotype space. In this work, I investigate the evolvability of Q-DNA, defined as a canonical tetra-stranded hereditary polymer, and analyze the conditions under which tetra-stranded heredity can support evolutionary dynamics. Using fitness landscape arguments and evolutionary simulations at a conceptual level, I show that multi-strand encoding introduces distinctive trade-offs between robustness and innovation, alters mutational neighborhoods, and reshapes adaptive speed. I identify regimes in which Q-DNA favors slow but highly robust evolution, as well as regimes permitting rapid innovation under constrained noise, thereby rendering tetra-stranded heredity evolutionarily viable in principle.