Google leadership has been from research/engineering and product backgrounds. This is how hierarchical businesses operate
Not really, in such large companies there's enormous selection pressure favoring career politicians. Maybe some of the survivors did some engineering at one point, but expertise fades fast when you stop getting your hands dirty. Most are empty suits.
Except leadership is largely not from employees moving up the rank
Sundar (CEO) is from Mcksinsley.
Ruth (President) is from Morgan Stanley.
TK (Cloud CEO) is from Oracle.
Mohan (YouTube CEO) is from DoubleClick which is Google at this point (~15 years).
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Largely the story of the past several decades is that "doing your time" is a bad strategy. Always move to another company to go upwards.