I don't know where this is supposed to go, but this is a good example of how difficult it can be to establish a mechanism. I have faced these kinds of decisions also. If you have an addition to a C=O, is it nucleophilic, protonation first, or concerted?
Let us discuss some chemistry. Phthalimides are remarkably acid stable. I presume that is because two carbonyl groups deplete the non-bonded electrons of the nitrogen to such an extent that very low concentrations of protonated phthalimide is present to allow competitive attack on a carbonyl group. If base is used, they are actually very easy to open (though difficult to hydrolyze an amide bond).
This suggests to me that protonation of phthalic anhydride would also be difficult and it would also be an unlikely nucleophile in a reaction with thionyl chloride. Will a chloro iminium salt be more reactive?
I thought it more likely that DMF would be the nucleophile. This would generate an iminium anhydride and a carboxylate. The iminium anhydride would be the normal intermediate in the formation of acid chlorides catalyzed by DMF.
If the procedure did not call for the addition of DMF until refluxing for 2 hrs, I would change that immediately. I don't see the purpose of the delay. I would do the reverse and start with a catalytic amount of DMF and slowly add the thionyl chloride. The reaction with DMF should be instantaneous because DMF is probably a better nucleophile that an acid. I presume that is part of the rational for the use of it as a catalyst. After all, if an acid reacted instantaneously with thionyl chloride, why add DMF?
Another possibility is to increase the chloride concentration in the reaction. In the absence of DMF, the HCl will outgas and be lost upon heating. DMF can form the iminium salt and hold chloride as a counter ion/nucleophile. If that were the case, then chloride would be the nucleophile in a reaction with the anhydride.