Do muons interact anomalously with hadrons?

We examine the possibility that the recently observed suppression of the rate for K_L→μ⁺μ⁻ is due to the three-pion intermediate state with an anomalously large amplitude for 3π(J^P = 0⁻)→μ⁺μ⁻. We do not explicitly introduce new dynamics, but merely parameterize the empirically required enhancement in the simplest phenomenological manner. The question is then raised as to whether this interaction would be presently observable in other experiments where muons are studied in the vicinity of hadrons, in particular muon-proton scattering and muonic atoms. We also raise the same question with respect to an alternative possibility, namely that an anomalously large amplitude for ππ(J^P=0⁺)→μ⁺μ⁻ give rise to K_S→μ⁺μ⁻. The possible size and nature of effects in other experiments are thus estimated.