It'll probably not be free forever. Access to the models could become part of their "Pro" offering - https://duckduckgo.com/pro
Considering the speed at which models are improving, and more importantly, the speed at which models have begun improving per unit compute, I would bet that AI models at least as good as ChatGPT 3.5 will be free to use like this forever.
Right now there is so much interest/demand, and so much money sloshing around to provide it, that it's easy to find.
By the time the AI market cools off a little bit, I would expect that the cost to run a model meeting the current quality of ChatGPT 3.5 will be next-to-free.
Will near-state-of-the-art models be free forever? Absolutely not. But state-of-the-art circa late 2022 models are probably the quality basement, and free models will be at least that good.