If you are renting you can expect to save exactly nothing because landlords simply raise rents to whatever level the market will bear. OTOH if you can control your housing cost inflation then you might be able to save.

Note also that "savings" are often strongly tied to share price performance. If you were a mid-career senior engineer who signed a standard $600k/4yr RSU deal at Nvidia in 2014 then by 2018 you were sitting on potentially $8 million.