This right here is the kind of company any self-respecting engineer shouldn't join unless they are transparent about the fact that they have issues with their processes/don't have people to deal with these issues that they need your help.

If they have a whole arsenal of project managers, architects, product managers, engineering managers, business/product analysts and still give this kind of lousy excuse, I'd probably stay away. Chances are they don't have any real expertise in the domain they are working in.

And btw, requirement gathering and writing technical specifications are taught in school.