Every car that comes off a production line, is started and driven off while the oil pressure builds up.
Many engines have oil pumps in the sump submerged in oil which eliminates priming problems.
Yes, that was quite prolific at one time, the drive taken down from the cam, often using the distributor gear; not so easy with overhead cams.
I can remember engines without oil pumps.
The cap of the conrod had a "Dipper" , shaped like a very small, long garden trowel that struck forward into the sump oil, driving oil up the the big ends. It also caused a lot of splashing over the cam and up the bores where the oil rings gathered enough to 'wet' the little ends, and the crank webs had cast-in grooves that trickled the oil to the main bearings.