The compiler is one of the most significant trust boundaries we have. Its decisions can intentionally or unintentionally create vulnerabilities in programs compiled by the compiler, which means that if you can compromise a compiler you can compromise everything downstream.
Unsafe memory access in a compiler can be exploited in order to hijack the compiler itself (this is reported regularly in production compilers), allowing the attacker to then insert arbitrary code into compiled binaries. Not everything that a compiler absorbs from its environment is meant to be treated as source to be compiled, and in a memory unsafe compiler any of that input can silently turn into machine code in the compiled binary if an attacker is able to exploit the memory safety bug and hijack the compiler.
1. There are lots of things that compilers load into their memory that aren't actually source code. A memory exploit turns non-source data into executing-in-the-compiler code.
2. Depending on the language semantics, a memory exploit can allow substantially higher privilege than just being loaded as library code. Latent malicious code that never gets called into never becomes active, but if you can exploit a weakness in the compiler you can make your code execute at any time you'd like instead of relying on the main application calling in to your malicious library.
And as mentioned, if what Zig offers is already in Purify, there is hardly any added value over C and C++, without the headaches of a niche language.