It is a pain, but all things considered, having it would have been a greater pain. Note that the main issue with operator overloading in Zig isn't so much the operator part but the overloading part, because overloading introduces ambiguity that cannot be resolved at the code-unit level. Zig doesn't allow name overloading even for ordinary identifiers (actually, Zig is more strict in its opposition to overloading than Clojure or Erlang, which do allow it when there can be no ambiguity). I think it's more likely that Zig will allow user-defined infix operators (say +' or something) before it allows overloading of any kind.
> Zig in many ways puts faith in the coder to not screw things up
I understand Zig very differently. Zig puts a lot of effort to make it hard for the coder to screw up. Even where it doesn't enforce correctness at compile time or at runtime (and it does both much more than C++, to the point that the goal is to eliminate all or nearly all undefined behaviour in safe mode), its strong emphasis on correctness, including functional correctness, is expressed precisely through a simple and lean language that's easy to understand, so that it's harder for the programmer to screw up (plus fast compilation and easily isolated code units). So to the extent that Zig puts faith in the coder (less than C++, more than Rust), it can do so because the language is so lean and simple.