Night light conundrum.

Could someone who has the tools to carry out this task, please do so & let me know the results. Thanks…

Conundrum—

If you have two light sensor night lights (the ones that turn on when its dark) & you plug them into the same outlet, side-by-side, will the following scenario happen?? When it gets dark, both night lights will kick on, but the bright light from both lights will trigger the other night light’s sensor & they will both shut off…when off, it will be dark again & so the night lights will turn back on again & will continue this forever loop of off/on/off/on until the light bulbs burn out? i.e, cheap strobe light. :) I’d love to know what would happen. Thanks.