Thank you for all the info provided as well as the cutaways of the falling figs.
IMO they look like late Mammoni caprifigs which due to the absence of the Blastophaga psenes (wasp) cannot be caprified, then, dry and fell in view of their symbiotic relationship - the wasp will not survive without the caprifig and vice-versa.
You also raise a valuable point - The multiple Caprifig crops !!
Yes there should be 3 !..sometimes 4
1st - PROFICHI, shooting on the previous year wood, ripe and full of wasps, male flowers and GOOD pollen by May/June. Wasps from this fig would carry the pollen to fertilize the Caducous, female figs- the Smyrna and 2nd crop SanPedros.Also, they will send some wasps to colonize the following crop.. the 2nd
2nd - MAMMONI ,on the current green wood on the leaf axils, the ones you see now falling precisely for lack of insects. Mammonis do not have any fertilizing pollen, nor any male flowers.. They have a good deal of modified female flowers- the galls-
Nature has modified precisely to shelter and help to develop the insect's eggs and larvae... plus a few genuine female flowers which once exposed to the pollen from the Profichi will give birth to fertile seeds but very few.. may be a dozen or so. These seeds of full Caprifig parentage, if given the right conditions will germinate and be new figs.
3rd - the MAMME .Born through the fall on the current year's wood. Again a crop of wild, rough and big figs full of galls to shelter the eggs and larvae brought in by the Mammoni's insects. No pollen neither male or female flowers.Nature has given this fig the capacity of behaving as a 'all weather' capsule.. Very hard, rough and ugly with thick insulation, impenetrable.. it will guard and protect the new colony of several hundred larvae/insects inside the galls throughout the winter ... By mid March of the following season it will slowly soften, change color to yellowish/violet and will dispatch many hundreds of clean wasps (no pollen) to colonize the 1st crop...Profichi and the cycle is thus closed.
I do not know if your tree ever showed other crops. Not stimulated by the presence of the Blastophaga it may simply do not grow any more figs.
Being close to the tree you may remember eventual changes on its behavior.. It is common a given caprifig pass one or more crops..
I may not given all the information you expected.. if you need any more info please do not hesitate to ask and if I know I will tell you
Now, the next steps..Nothing is lost!
You shall keep an eye on those trees - old and young-
I would like to suggest you to try and while those trees grow, to make them a bit more profitable-.
You have a great and long lasting source of fig energy ready !!
Given your mild climate try and 'T bud' on selected branches (you may do it now) of these trees some very good brebas like
Desert King (think your place is ideal for this variety)
Dauphine ( ditto ditto..)
Dalmatie ( ditto ditto ..)
or figs like
the 3 Bordeaux - Ronde, Rouge and Violette
Black Madeira
Hardy Chicago, etcc
Budding now the graft would stay dormant and shoot up next spring, or
cleft/whip&tongue real grafting by March/2016
May be you know how to do it or have a friend who could help and do that for you - Very easy if you get the basics and practice 'hands on' .. You have plenty of plant material to train yourself
It's fun and you may eat real brebas and/or figs soon !!
Good luck
Francisco
Portugal
PS.- Will add some additional thoughts later tonight if you agree to listen to me!?