First of all, if you paid "someone" to do your body work, who was this person and how much did you pay? If the rate or amount you paid wasn't comparable to what a body shop might charge, then my response is nowadays you get what you pay for. Second, what did you agree upon when they took the car and started the work? They either did what was agreed upon or they didn't. Lastly, take care of your 88 Cutlass because our classic cars are getting rarer by the day and good ones are hard to find!
That being said, some of the advice given by the others is correct, specifically, the fact that most primers absorb water. With the exception of epoxy primer, not applying any kind of topcoat (base and clear) will result in rust developing by the end of summer. From the one picture you've shared, if the person did not take the time nor make the effort to ensure paint coverage along the rockers, I doubt seriously that he would've used epoxy primer which is more expensive. If you've already spent money to get to this stage, why are you in a rush to not finish the job properly! Just like the old Fram oil filter commercial...Pay me now or pay me later!