Yes, the button in the photo has what button-collectors call a "birdcage" shank. The "turret" shank gets its name from looking like a (modernday) warship artillery turret. Minus the cannons, of course.
You requested a date-range for your button's version of birdcage shank. The photo below shows a World War 2 era French Navy button's birdcage shank. Yours appears to be a present-day version, in which manufacture was simplified by using a one-piece cross whose arms are folded back to form the "cage," instead of two crossed wires brazed together.
For anybody here who doesn't already know:
The "birdcage" shank is most often seen on French-made buttons.