I hope it does as it is stunning. It isn't a convertible in the normal sense as it is based on something tall and off-roady in nature. But think army Willys Jeep, a Suzuki Jimny in soft top or a Land Rover Defender 90 in army spec. It actually works if you look it in that way. Think of the Evoque Convertible as a SUV based on the vehicles above but with a very plush interior (and very stylish non-boxy exterior).
But while Land Rover will be pleased if the Evoque Convertible is widely received the company already has its order books full for the normal 3 door and 5 door Evoque. 50,000 units have been built and there are 60,000 units on order worldwide and if Land Rover decides to produce the Evoque Convertible, it may cause those waiting for the normal Evoque to cancel their orders and wait for this more special version. Of course some would not change their minds as a convertible is a very niche vehicle and not many may end up buying a niche vehicle regardless of how good it looks. Anyway, Land Rover must do some number crunching if it does bring this variant into production.
But if produced the Evoque Convertible will basically be a soft top convertible that seats four. The roof electric and it will have roll-over protection system like those in those Mercedes Benz convertibles. It will also have all the regular Evoque's systems and technology including the pretty good Terrain Response. If produced if could cost up to 15% more than the regular Evoque. A slight price to pay for stunning looks and some extra exclusivity.