I see the other numbers aren't updated either now my reputation is increased. I seems that the image is cached for hours (24 hours, I read in another answer).
I could understand why, but it is a pity because it would have more flair if the image contains a more up-to-date reputation.
Maybe the image could be updated more often, or may it could be updated earlier if a reputation changes more than a certain minimum or more than a certain percentage in respect of the reputation shown in the flair.
Apparently the page is updates between then and now. It still takes a while for the flair to be updated, but at least the explanation near the combined flair now clearly states that it can take up to 36 hours.