Function names let you clarify that it is an outside product or inside product (e.g. there are often different types of adds, multiplies, divides), and I can not stand when someone maps cross product onto ^ (because you can both exponent and cross product some vectors, like quaternions, so why use exponent operator for cross?) or dot product onto something else that doesn't make any sense. Also operator overloading often doesn't make clear memory management, rather it relies on making new objects constantly, whereas with explicit functions, you can pass in an additional parameter that will take the result. Lastly, explicit functions allow you to pass additional information like how to handle various conditions, like non-invertible, divide by zeros, etc.
I find word-based functions more verbose but significant less error prone and also they are more performant (because of the full control over new object creation.) Operator overloading is only good for very simple code and even then people always push it too far so that I cannot understand it.
[1] 1997: https://github.com/bhouston/BezierCurveDemo1997/blob/master/..., 2001: C# math library: https://github.com/bhouston/ExoEngine3D/tree/master/Librarie..., 2013: a bunch of the core Three.js math library, 2023: https://github.com/bhouston/threeify/tree/master/packages/ma...