If you read through the plain concrete chapter it describes what it can be used for. Bearing walls and pedestals are the two that would be formed, as well as the sides of a concrete footing if you form those. I agree, though, shallow foundations are the most common use of plain concrete.
Are you going by the concrete strength on an old drawing? If so, it may be less expensive to have a core sample taken and tested to give you a better look at the actual strength. Since it's existing you have no idea how the QA was handled during the pour, I'd be hesitant to take the full thickness.