IIRC, Austin's snow is/was always going to be dependent on whatever moisture was available to the upper-level low riding down out of Colorado, independent of the forming Gulf Low.

Houston's precip would be dependent upon the interaction of that upper-level low with any wrap-around moisture on the Northwest side of the surface low in the Gulf. That creates the potential for significantly more precip over our area than in the Hill Country, but it all comes down to timing.