It is not really in the wild. Supersymmetry is a very natural symmetry of nature (it arises from first principles) and is one of the most studied theory extending the Standard Model. The problem here is that many predictions are not realized in data. As a result, the mass scale of the new particles is more and more shifted towards the high energy regime. Another option is that all new particles must satisfy some specific properties that make them stealthy.
From cosmological considerations, we start to constrain models from a different angle: dark matter. As a result, the number of realistic scenarios starts to be limited, which means we can design appropriate ways to corner what is left over. Here, we investigated a class of supersymmetric models (the LND models) that can accommodate all data. But the options are limited so that the models will be reachable in a close future. If excluded, the game is not over. We can make the model further less minimal or just follow another, still supersymmetric, approach.
But in short, LND models may be excludable soon, but supersymmetry not. There are too many options. What is important is to close all potential loop holes.
I don't know whether this was clear enough. Feel free to come back to me if needed :)