Why are you assuming it was "locked"?
If it was controlling the slip between sides then the diameteral difference would cause the lsd to work at max for much longer than it was probably designed to do. Probably only designed for so many seconds at max in a period of a minute or some such.
4X4 that are designed for off-road have locking diffs that ...
There is generally no relationship between these two.
There is, however, an ABS-related technology that is used on some vehicles these days where the ABS system activates to help with traction. It does this on non-limited slip vehicles by applying the brakes via the ABS pump to the slipping wheel.
These systems have different names such as "Dynamic ...
The service schedule is defined by the engineers so that the oil does what it is meant to.
If you don’t change it and do another 100k then there may be damage or a failure.
But if you do change it, then it is part of preventive maintenance which reduces the liklihood of problems - never gets to zero though.
So, it’s down to you - do you look after it or not. ...