The history of aviation is full of people taking inspiration from flying animals
Unless we start making the sustainability of our technology a success criteria, we'll never achieve it. Many biological systems are different precisely because they are constrained to run within an overall sustainable system.
Maybe human tech ~is cyclically sustainable on a long enough timescale, but I certainly ~hope we're not going mostly to die off and live without technology until the forests grow back and microorganisms in the oceans turn into oil.
We're smart enough that we should be able to avoid anything like that if we put in the work but don't glorify what's natural, we should be looking for our own solutions.