I believe the point of the question ( as I understand it) is that, for the same tree, what environments/conditions/care will make the fig tree ripen the fruit on time according to the plant's biological clock and what environments/conditions/care (or lack of it) will delay ripening of the fig fruit. Of course different varieties will behave differently under similar/same situations and more so under different situations.
I am not an expert by any means (though I grow good cucumbers, tomatoes and hot cayenne peppers) but I strongly believe in the heat-units requirements with light being as catalyst for photo-synthetic nourishment (& a factor because cloudy conditions reduce the heat & thus heat units at the plants level) and no amount of heat-units in the dark will ripen the fig before the tree suffers because of lack of photo-synthetic nourishment. I also believe by intuition that the heat-units accumulated at temperatures around the optimum growth temperature will be the most efficient in ripening the figs whether accumulated in the calm open yard, at the south-side wall or wherever else.
So, what is that optimum temperature to accumulate the most efficient heat-units? I don’t know and we can wait for an expert to answer. In the meanwhile I can just guess (and forgive me for making too many assumptions here).
We know plant growth shuts-down between 15 degree C to 7 degree C (55F~45F); and dormancy breaks around 7C (45F approx) but I have read that the real growth starts around 15C (55F~60F).
I also believe that, just like a dormancy shut-down of growth at colder temperatures, there has to be a shut-down of growth at some upper temperature where the plant stops in order to conserve energy for survival just like some grasses do when they look brown and dead and crunchy to walk on but a good soaking rain brings it out of heat dormancy and greens it up again.
So, if the plant real growth starts at about 15C (59F) and the growth stops above 35C (95F) and assuming linear relation, the optimum growth temperature should be around the middle point i.e. 25C (77F). Again, assuming 1800 units (?) for ripening of fig fruit (though it varies from variety to variety), the best ripening from quality perspective should be when the day-night average temperature is at 25C(77F) and it should take approximately 1800/25=72 days. Theoretically, it may take 120 days at day-night average of 15C (~60F) and 52 days at day-night average of 35C but naturally the abnormal temperatures and times involved will affect the quality and sweetness.
Normally we see ripening times varying from 60-days to 90-days which corresponds to average daily temperatures of 30C(86F) to 20C (68F) respectively (now there is a numbers magic ,86 & 68!)
OK, I will stop my assumptions and rest the case for pickup by experts to insert correct numbers above.
Who knows why mine don’t ripen? May be because my oldest one is just two year sold but I am sure, and very sure, it will ripen early next year; with an early start of two weeks in the garage and then the pot with twelve1” dia holes buried in ground near south facing wall when the soil warms up. Nothing will stop it (except raccoons and squirrels).