Same hinge for both. A couple of questions. Does the female captured nut for the side closet to the front of the car slide back and forth? The firewall side is just where you land the bolts in the vertical channels of the hinge mount. That combination is where you get all of your adjustment.
You mentioned that you have new hood hinges. Are they brand new or just different? If they are just a different set, they may have play in one or both just like the old set. Try twisting the hinge with your hands holding the brace for the hood and the mount for the inner fender and see if there is play in it. If there's no play there, those should be good to go.
Just as a note, when I got my Challenger, the driver's side wound not pull down to meet the fender. Turns out some ding dong replaced the hinge with a Charger hinge and it wouldn't pull down far enough. After I figured that one out, replaced the hinge and it pulled down just fine.
Slotts