I am sure the post before meant west.
I have not studied the models on 96L, but visual observation suggests that the steering off the Yucatan is more northerly than westerly. I think the bulk of this system will move Nw'ly in the near time. After a bit the flow seems to be NE'ly along the trough in the CGOM.
I don't know how long this pattern will persist, so it could all relax to a more westerly flow in a day or so.
Right now the 95L feature is bringing copious amounts of moisture over the peninsula out of the Caribbean. The forecast is for that to move out today or tomorrow and restore an easterly flow. That would explain the forecast for 96L to be headed for the WGOM again.