You say that because you lack experience in writing programs for scientific-technical computing, where an abundance of complicated mathematical formulae are necessary.
Most programmers have seen only programs that do more data movement and comparison than actual computation, but nonetheless there are programs with abundant computations, the kind of programs that were originally written in Fortran, but nowadays they may be ported to other languages, or alternatives for them may be now written in more modern languages.
In such programs, overloaded operators do not make programs "slightly shorter to type", but they reduce the amount of text at least an order of magnitude or even much more.
The main advantage is not that you type less, but that you can read the source of some function in one page, so you can see it in its entirety, instead of having the source spread on many pages, forcing you to wander through all those pages continuously, when you try to understand what it does and whether it does it correctly.
I have written such programs, for instance which were full of long formulae where most variables were complex vectors or complex matrices (for computing some radiated electromagnetic fields with the method of boundary elements). Without the operator overloading of C++, reading them would have been extremely tedious and maintaining them would have been very error prone.
For myself, any programming language that lacks operator overloading, e.g. Java, is disqualified, because it definitely is not "powerful" enough.
Operator overloading also increases the safety of a programming language, because you can define distinct data types for each kind of physical quantity, allowing the compiler to detect and reject the invalid operations. Without operator overloading that would inflate too much the size of the source text.