Slides can be downloaded. I hope the talk recording will be available as well.
Memory unsafety is just one class of safety bugs, and a relatively unimportant one.
As far as payment processors go, I'd be much more worried about concurrency bugs.
Wrong. Memory unsafety, in its various forms, is the primary source of exploits in software written in C.
> I'd be much more worried about concurrency bugs
Another thing which is hard to do in C, and so much easier in some more modern programming languages (particularly in Rust).
Memory unsafety is just one class of safety bugs, and a relatively unimportant one.
As far as payment processors go, I'd be much more worried about concurrency bugs.