[ciphernomad-org]

You are correct from a formal perspective. Any finite state machine is periodic.

In cryptography, "aperiodic" means the period is computationally unreachable. We use a 256-bit state, making the probability of a collision negligible (on the order of 2^256). This is a parameter of the CVM; it could be increased to 512 bits or more if required.

This is the standard security model for all modern hash-based constructions.