I think you've taken a pretty narrow interpretation of "reliable software". It seems more reasonable to think that Bjarne was speaking at a general level, i.e., the idea that software written in non-garbage collected languages tends to be prone to memory management errors on the part of the programmer.

This has been a common meme for the past 15 to 20 years precisely because it is so easy to forget when a block of memory needs to be freed. However, the mechanisms of reference-counted smart pointers, RAII, and clearer ownership semantics in the language, go a long way to help mitigate the common manual memory management problems in C++.

The downside, of course, is that you have to know how to use these ideas to write "reliable software", and C++ does not make it easy. It's pretty much impossible to go from reading the standard to implementing correct and optimal C++ programs. There are so many gotchas, corner-cases, and features which require much study and experience to truly understand.