I don't have experience with either brand of guitar, so I'm unaware of any issues regarding either. The Schecter Hellraiser and the ESP LTD H1001 seem to be essentially equivalent guitars in the same price tier. Is either one a clear winner over the other? (In my mind I'm comparing the black cherry models, though that probably has no bearing on things).
Two knobs or three? Bound fingerboard or no? Skinnier horns/slimmer neck vs. thicker horns and a more V-profiled neck? Flame v. Quilt?
They're made in the same factory, and have the same parent company. It's all down to aesthetics. The necks are very similar, but the Schecter's is a little deeper and more V-profiled, while the ESP's is a little flatter with wider "shoulders."