I'm a taxi driver on the motorway with a passenger and I get an oil level low warning and I decide to to carry on to the next service station. On checking it is noted that I do in fact need a litre of oil. No drama.
A colleague of mine has the same warning the next day but decides to pull over onto the hard shoulder and call out the AA for a tow to the service station.He also needs a litre of oil. No drama.
At the risk of being a smart arse and since you asked.
Having been a person who was responsable for dealing with the results of such decisions, but on much larger equipment, I can say the second driver made the correct initial decision.
Why, because there where two possible occurances, one the warning system was faulty, two the system was indeed low on oil. If it was indeed low on oil then there are two main possibilities, one it had systematicaly got lower over a long period, or oil is drastically being lost for some reason, like a lost sump plug.
A engine under high load can be damaged in a very short time, even if the oil pressure light comes on and you get it shutdown. Hence the correct course of action is pull over, verify you still have adequate oil with the dipstick and then continue on to where you want to deal with it.
The first driver made a guess, that unless he had other information was just that.
p.s this is not meant to reflect on the actions of this crew.