It isn't a lot of money for industry research. Changes of +-40% in productivity are an enormous advantage/disadvantage for a large tech company moving tens of billions of dollars a year in cashflow through a pipeline that their software engineers built.
I see these things posted on linkedin. Usually asking $40/hr though. But essentially the same thing as the OP outlines: you do some domain related task assigned either with or without an AI tool. Check linked in. They will have really vague titles like "data scientist" though even though that's not what is being described, its study subject. Maybe set 40/hr as a filter on linkedin and see if you can get a few to come up.