Hi, Francisco,
They use the caprifigs to pollinate the only local Smyrna they use in that region - Blanca de Pasa - a fig that is mainly used to dry and it's the most cultivated.
I have one tree of this variety that still hasn't produced. The caprifig variety most used to pollinate them is know as "De Perilla" and i also have a young plant of this one.
Here's a list of varieties from the region, the first one's are the most common over there:
Here's the complete document - https://www.agroecologia.net/recursos/publicaciones/publicaciones-online/2006/CD%20Congreso%20Zaragoza/Ponencias/15%20L%C3%B3pez%20Agudo%20Com-%20Localizaci%C3%B3n.pdf
Curiously, in the video, when they show the processed figs products, they say they use mainly 3 varieties to process - Cuello de Dama, Pajarero and Calabacita and those are not common in the area - they don't mention Blanca de Pasa which is very strange, because this variety alone stands for the largest production of dry figs over there, both for consumption and processing, so i don't know if the last part of the video is really representative of the processed figs industry in that region.
There are 2 fig varieties that are known as Calabacilla or Cuello de Paloma over there (a black and a white Calabacilla), but they are different from the Calabacita we can find in other parts of Spain.

As they say in this page, the people that did the study were surprised to find so many cultivars, but their distribution is very uneven as the big plantations are almost exclusively of Blanca de Pasa which is the only one that is commercialized at the moment.
They also say that Brevera Blanca, Calabacilla Negra, Calabacilla Blanca and Roela have an important potential as fig varieties for fresh consumption but they are mainly found in small orchards and mainly used for auto consumption.