The wrinkle there is that LLS is currently correlated with Brent (even with a small premium to Brent - is that what you meant? It's much higher than WTI). However with the pipes being built from Permain Basin to Houston and Gulf Coast, it's possible that LLS decouples from Brent and trades more in line with WTIC. Rather than bringing Permian up to Gulf Coast prices, the result might be for Gulf Coast to decouple from world prices.
google this article title to read about it:
"After the Flood – Gulf Coast Light Sweet Crude Pricing Beyond 2013"