An adequate confinement of α-particles is fundamental for the operation of future fusion powered reactors. An even more critical situation arises for stellarator devices, whose complex magnetic geometry can substantially increase α-particle losses. A traditional approach to transport evaluation is based on a diffusive paradigm, however, a growing body of literature presents a considerable amount of examples and arguments towards the validity of non-diffusive transport models for fusion plasmas, particularly in cases of turbulent driven transport [ R. Sánchez and D.E. Newman, Plasma Phys. Control. Fusion 57 123002 (2015)]. Likewise, a recent study of collisionless α-particle transport in quasi-toroidally symmetric stellarators [A. Gogoleva et al., Nucl. Fusion 60 056009 (2020)] puts the diffusive framework into question. In search of a better transport model, we numerically characterized and quantified the underlying nature of transport of the resulting α-particle trajectories by employing a whole set of tools, imported from fractional transport theory. The study was carried out for a set of five configurations to establish the relation between the level of magnetic field toroidal symmetry and the fractional transport coefficients, i.e. the Hurst H, the spatial α and the temporal β exponents, each being a merit of non-diffusive transport. The results indicate that the α-particle ripple-enhanced transport is non-Gaussian and non-Markovian. Moreover, as the degree of quasi-toroidal symmetry increases, it becomes strongly subdiffusive. Although, the validity of the fractional model itself becomes doubtful in the limiting high and low symmetry cases.