@mdhughes
Scientist here, albeit I am a Computational Biologist. I normally don't respond to people for the reasons you outlined above. I personally don't respond unless I can contribute helpful information that people have asked for.
But yes, this has been studied.
Here you go:
The Role of Emotions in Contributor Activity: A Case Study on the #GENTOO Community
https://arxiv.org/abs/1306.3612