first, note that "Destruction of the old object followed by copy construction of the new object" is not exception safe.
but re "Copy construction of the new object, followed by a swap with the old object, followed by destruction of the old object", that's the swap idiom for implementing an assignment operator, and it's exception safe if done correctly.
in some cases a custom assignment operator can be faster than the swap idiom. for example, direct arrays of POD type can't really be swapped except by way of lower level assignments. so there for the swap idiom you can expect an overhead proportional to the array size.
however, historically there wasn't much focus on swapping and exception safety.
bjarne wanted exceptions originally (if i recall correctly), but they didn't get into the language until 1989 or thereabouts. so the original c++ way of programming was more focused on assignments. to the degree that a failing constructor signalled its failure by assigning 0 to this… i think, that in those days your question would not have made sense. it was just assignments all over.
typewise, some objects have identity, and others have value. it makes sense to assign to value objects, but for identity objects one typically wants to limit the ways that the object can be modified. while this doesn't require the ability to customize copy assignment (only to make it unavailable), with that ability one doesn't need any other language support.
and i think likewise for any other specific reasons one can think of: probably no such reason really requires the general ability, but the general ability is sufficient to cover it all, so it lowers the overall language complexity.
a good source to get more definitive answer than my hunches, recollections and gut feelings, is bjarne's "the design and evolution of c++" book.
probably the question has a definitive answer there.
double converter::operator=(int value);