Turbos work due to the rapid expansion of the exhaust gases right after the turbo so a better DP is almost always a must have item but the tiny stock turbo probably negates most of the gains.
When I first got my car, before I went off the deep end...I was going to cut out parts of the stock DP and weld in bigger sections to help it flow better where it is very restrictive. You could have that done and the stock covers fit, maybe a bit of trimming, get some of the gains of a bigger DP and not get busted during inspections.
Do this with a Cyborg turbo and ported manifold, you would love the change it can make, ditch some of the instant spool and narrow power band for a much wider and more usable one and still look stock