Let’s not forget, the microprocessor wasn’t the awesome brainchild of a single inventor. I love the 4004 because it distills the essence of a CPU chip, it is great for teaching, and it was truly general purpose.
But in 1970, the time was right, the race was on, and depending on what hill you planted the flag or where you placed the finish line, sure, Intel crossed it first.
But running alongside Faggin, Shima, Hoff, and Mazor were an elite pack of marathon runners who also knew the time was right.
Texas Instruments was concurrently designing a single-chip calculator, Garrett AiResearch had already secretly built an avionics DSP chip set for the F-14 fighter. There were others too.
Federico Faggin was fully aware there was competition to “be the first” (he just didn’t know who they were). That’s why F.F. worked so very many late nights that year.
If Intel didn’t, someone else would have.