Most of these interval recommendations are made with ideal conditions.
Minimal idling and no aggressive accelerations and use manufacturer recommended oils, with the correct grade and correct amount oil (No under or over filling).
13000-16000 is only ok if you mostly drive open highways.
9000-10000 or annually whichever is 1st, for most people who have to do some form of stop-go traffic to and from work.
5000-7000 if you use your car all day, like uber. Sooner if you have heavy stop go traffic all day.
Not shown in video below, but part of why your oil degrades and gets contamination is because of the combustion process.
Crankshaft kicks up oil when at full speed and splashes it on the cylinder walls, coating the piston and in the process.
Helping the piston / piston rings move in the cylinder.
But contaminates (Burnt carbon) leak past the rings into oil sump.
Contributing to the oil turning black over time.
The contaminates cause friction, which causes wear on all moving parts. not just piston but also CAM shaft and rockers because the oil is pumped from bottom of sump up to the engine head.
When a car has loads of Kms but still is running smooth and quiet, it's because it had frequent oil changes.
Running the car as few Kms as possible with the contamination present is the goal.
You can sort of eyeball it if you are not sure about interval, rubbing the oil from dipstick onto a white cloth or between your fingers.
If it is black or brown but rubbing it in fingers or on the paper, you get the original color. Time to change.
If it is mostly original color or only slightly black or brown color. Soon but if it is a year-old change it.
If all black and no matter how you spread, it out on cloth you only see black. Too late, need to increase intervals.
If you take your car in, would recommend using a permanent marker of some type to mark your oil filter if you can access it.
Just to be sure they are actually replacing it. Get some lazy oil technicians.
Oil changes are much cheaper than
any repair.
But that's just my opinion.