You should care about memory safety in any language. The point is to reduce bugs and have more maintainable code, that doesn't introduce memory errors when something is changed. Or when making something concurrent.
Now of course if you use a garbage collected language, then you aren't in control of memory, so it's less of an issue. But if you are using C++ for high performance applications such as gaming, then you are in control of it and need memory safety.
Now of course if you use a garbage collected language, then you aren't in control of memory, so it's less of an issue. But if you are using C++ for high performance applications such as gaming, then you are in control of it and need memory safety.