You shouldn't let the existence of a competitor stop you. The business model of Lyft/Gett/Juno is basically to carbon copy Uber and get piece of their pie. Just being a deliberate copycat isn't a terrible strategy. Trying to one-up something that already exists is also plausible, if not easier because their is already a trailblazer that has made the market and you can just piggyback. Facebook succeeded because of MySpace, not in spite of it.
You could argue Uber copied Lyft (although it might be more convergence than anything), which I suppose just highlights your point even further.