I am in Vancouver area Canada. My in-ground desert king is loaded with figs. We have a very dry summer so far, almost no rain for the last 2 months. It has also been very hot, relatively speaking of course. So the figs are getting ripe earlier, 2 weeks earlier than last year, which is understandable. What surprises me is that the interior is much whiter, although I can't tell any difference in taste. They are just as delicious. Has anyone noticed a similar effect of the dry weather?

See here, pollinated too:
http://figs4funforum.websitetoolbox.com/post/can-you-help-to-id-this-fig-7505019?pid=1287949828#post1287949828

Thank you, greenfig. I wouldn't have thought there are fig wasps here, but who knows?

Have you tried to let them hang longer and see if they get more colour that way.
Regardless congratulations on a nice harvest for you this year!

Will,

My 4 yr old in pot tree supposed to be DK has about 10 large brebas this year.
Last year (when I thought it was LSU gold) there were 22 total but smaller brebas that were yellow on the outside and amber on the inside.
They tasted good.
This year they are just as yours; one week earlier, larger with thick white layer between skin and the core.
I picked it up because it split.
Tasted just OK, lacked flavour, was not sweet enough either.
Perhaps it needed few more days of ripening.
The tree is loaded with main crop that will abort pretty soon.
All of the above makes me think it is a DK.
There is another tree I have; 3 yr old that has two dozen brebas not ready yet.
Breabas are of similar shape, similar colour, big difference is that it will start setting main crop in August about a week after breba is gone.
Some of the main crop holds, majority will abort.
Is that a DK too?

My 2 yr old desert king is producing some brebas this year.  But I am finding it challenging to time picking them at proper ripeness.
So far I have picked 5 of them;
A critter nocked over 1 DK so I picked one a few days from ripe and tasted so so but too much skin.
     

The next one I waited for skin to turn a bit yellow and show some cracks it was a little too ripe very sweet and juicy (lighter in colour)
 
Then I picked one at sunset going by the fig silhouette and feel and it was perfect amazing taste (ate it too fast no photo of that one)
then today a day or so before ripe but still tasted sweet and nice.
    
It looks to me like the DK flesh gets lighter as it gets more ripe? 
Will, Given how much sun and heat you are having this year can that account for your lighter coloured DKs?