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It seems to me that this is evolutionarily unstable and raises interesting questions, such as:
Are the females that come out in the autumn reproducing asexually, or are they just wasting their time coming out at that time of year?
What is the mechanism that 'wakes up' the females in the autumn but does not 'wake up' the males?

I have found this, but it is not specific to Diptera):
Sex-Differences in Phenology: A Tinbergian Perspective
Cory T Williams, Helen E Chmura, Cole K Deal, Kathryn Wilsterman
Integrative and Comparative Biology, Volume 62, Issue 4, October 2022, Pages 980–997

Any pointers to any other relevant literature would be much appreciated.