There is quite a bit to learn by building a Wright Flyer.... TODAY.
Perhaps the most interesting thing about the Wright Flyer is the wing warping technology, which was abandoned in favor of ailerons and other technologies used in later aircraft. Wing warping like the Wright Brothers used in their designs has only recently been looked at as a viable alternative but requires some newer technologies to be developed that can use the concepts on higher performance vehicles.
There are also decisions that were made with earlier technologies that sometimes engineers and developers forgot in their quest for developing aircraft, and sometimes you need to go back and relearn what has been ignored.
Another example is how Philo Farnsworth took the idea of vacuum tube and pushed the idea in a completely different direction from what is normally done for things like cathode-ray tubes or even control tube (the predecessor of the transistor) and instead invented something new: a nuclear fusion device that was much smaller than the Tokamak and cheaper to build by several orders of magnitude. It also opened a whole new way to think about fusion concepts too.
I could cite other examples, but "going back to the beginning" can definitely be beneficial in a whole lot of different areas. It wouldn't even hurt to study Robert Goddard's rockets and try to understand why designs ended up where they are today. Reading Goddard's notes certainly helps.