  An area-preserving homeomorphism isotopic to the identity is said to have
rational rotation direction if its rotation vector is a real multiple of a
rational class. We give a short proof that any area-preserving homeomorphism of
a compact surface of genus at least two, which is isotopic to the identity and
has rational rotation direction, is either the identity or has periodic points
of unbounded minimal period. This answers a question of Seyfaddini and can be
regarded as a Conley conjecture-type result for symplectic homeomorphisms of
surfaces beyond the Hamiltonian case. We also discuss several variations, such
as maps preserving arbitrary Borel probability measures with full support, maps
not isotopic to the identity, and maps on lower genus surfaces. The proofs of
the main results combine topological arguments with periodic Floer homology.
