The CPU industry is rife with engineers leaving and starting their own successful company. Intel itself was started when Gordon Moore and Robert Noyce (an engineer and a physicist) left Fairchild Semiconductor as part of the "Traitorous Eight". Federico Faggin and Ralph Ungermann (both engineers) left Intel to form Zilog. Chuck Peddle left Motorola and formed MOS Technology and create the 6502. CPU design in fact is one of those fields that almost requires real world experience somewhere before you can really innovate in the field. There's just too many tradeoffs to be balanced.
Why haven't we seen that recently? I think it's the leftovers of the 80s, with financiers being unwilling to commit capital to engineer heavy executive teams in capital intensive fields like CPU production anymore. Talking with financiers, there's almost this infantilizing group think that engineers can't be trusted with money and MBAs are required to hold the purse strings. The same thought process that decided that hospitals shouldn't be run by doctors anymore and that universities shouldn't be run by professors anymore, leading to the rise of the administration class and incredible amounts of unfortunate externalities from those decisions.
I think that's why we're starting to see a renaissance in CPU design. The tail end of Moore's law is democratizing access to high end CPU design, allowing individuals (albeit with relatively high net worth from previous CPU design) like Jim Keller to put their money where their mouth is and work with a small team of very good engineers to create companies without involving much in the way of traditional VC.