A real Pastilière is a onecrop variety. This is what all available French sources say. Some Breba figs occur in spring, but usually fall off.
Pastilière is known to give a very early autumn crop - in France from August on, same as Ronde de Bordeaux.
Ronde de Bordeaux is also said to be a onecrop variety, but sometimes can produce a small amount of breba figs. It has a much more vigourous
growth than Pastilière, the fruit are sweeter than Pastilière figs.
RdB branches and produces suckers easily, Pastilière doesn't. Both varieties don't need the fig wasp.
Maybe the varieties you're talking about are only similar but not exactly the same as the ones they have in France.
Nevertheless, your pictures look great!