Previous research established that rhythmic sensory stimulation can affect subsequent stimulus perception, possibly through ‘entrainment’ of oscillations in the brain. Alpha frequency is a natural target for visual entrainment, since fluctuations in posterior alpha oscillations have been linked to visual target detection or discrimination. On the other hand, alpha oscillations also relate to attentional mechanisms, such as attentional orienting or selection. Previous visual alpha entrainment studies focused on differential processing of targets presented in-phase with the preceding rhythmic stimulation relative to out-of-phase targets (an ‘SOA effect’), putatively related to the phase of entrained neuronal alpha oscillations. Fewer studies probed the consequences of rhythmic alpha stimulation for attention mechanisms related to alpha power. Here we asked whether alpha-stimulation of one hemifield has similar effects on reaction times as we see for increased alpha-synchronization in M/EEG studies (i.e. more alpha means impaired processing; functional inhibition). We implemented a task inspired by attention studies, assessing reaction times to ipsilateral versus contralateral visual targets, with and without concurrent presentation of distractors. Yet, in place of any attention cues, we presented a rhythmic, versus arrhythmic, alpha-frequency train of visual flashes to one hemifield, in a large sample size (N=115) in an online experiment. We found clear evidence that flash train rhythmicity did not impact task performance. We also found that the spatial congruence between the unilateral flash train and the subsequent visual target did impact response times, but only in the presence of contralateral distractor stimuli. We discuss implications, limitations, and future directions.