modern cars got very powderful oil pump as design. Just a second or 2 for the engine oil to move thru the oil alleys and start lubricating even the most hidden nooks even when engine has been left to cool down overnight.

Why on earth do you want to wait more than 2mins before moving. Even my 90s wira can see engine oil start flowing at tappet/valve cover area almost instantenously, and this is using 15W40. Yours with 5W20/5W30 is even faster.

Stop wasting fuel already, and more reason so when govt is going to stop rebate on petrol/diesel.