The present work is a continuation of previous studies of premixed gas flamesspreading through a space-periodic array of large-scale vorticities, and is motivated by theexperimentally known phenomenon of flame extinction by turbulence. The prior work dealtwith the strongly non-stoichiometric limit where the reaction rate is controlled by a single(deficient) reactant. In the present study the discussion is extended over a physically morerealistic formulation based on a bimolecular reaction involving two reactants with differentmolecular diffusivities, and where the mixture equivalence ratio is utilized as a control param-eter. The flow-field is considered as prescribed and unaffected by combustion. The resultsobtained show that the dual influence of the large-scale turbulence on premixed combustion(flame speed enhancement followed by its reduction and extinction), and higher resilienceof turbulent flames at lower Lewis numbers, are not actually related to the multiple-scalenature of the flow-field; the effects may well be captured within the framework of a one-scaleflame-flow interaction scheme.