Generally, the opposition to Uber/Lyft is driven by the taxi firms, not consumers. It's an interesting observation that Houstonians might care less about taxis, Uber and Lyft than the average city-dweller, but regular political analysis would suggest that this would give taxi firms (who cares a lot) more, not less, clout in the decision.

My guess would be that the reason for this decision not being controversial is that the supply of taxis in Houston isn't strongly limited the way it is in NYC and SF (some Googling didn't turn up much evidence either for or against this hypothesis). Which of course, again, would mean that Uber/Lyft would be competing on a level playing field and not just be scooping up heaps of customers who hate the entrenched taxi firms with a vengeance.