Adidas has done a much better job than Nike at cranking out high-performance shoes and track/training shoes with high-end foams in such a manner that the best bits quickly filter down even to their low-priced trainers. Their top flight racing shoes and gear are top of the heap. They also produce enough inventory and filter it out to so many outlets that deals are ALWAYS available for excellent Adidas shoes and running clothing.
Nike came out with their high-performance elf shoes many years ago now and they've not changed them up that much, while also continuing to charge BIG $$$ for every pair ever since. It seems they sink huge amounts of their revenue into stunts like the sub-2:00 festival, along with Oregon football, along with crazy expensive advertising, but their focus on running tech seems fleeting.
Now, both Nike and Adidas ebb and flow when it comes to focus on running. There have been long periods in the last forty years when either, or both, had few/no great running shoes and were focused on other sports or fashion (see: Michael Jordan BBall and Tiger Woods Golf).
Still, at this point, it appears that Adidas continues to innovate and to push their best tech into shoes everybody can afford. Adidas was also first out of the gate with ETPU/Boost, years before the rest of the pack. At this point Nike offers a small line of elf shoes with PEBA-based foam and sometimes added zoom air pods, but they are incredibly expensive and have become stale IMO.
Adidas FTW.