No, this is NOT reported speech, nor is it lazy hurried writing.
Reported speech does not use quotation marks because reported speech is not a direct quotation, which this obviously is. When someone is quoted directly, there is no change made to anything that the original speaker says; hence direct quotation.
There is nothing grammatically wrong with what the law professor said. The normal neutral is to not have
a grammatical question form in a statement. We are not compelled to always follow that normal neutral. There are situations, like this one, where the speaker may wish to make it more emphatic, sort of a,
The question is -- how are they doing that ...