Isn't it equivalent to statically determining the lifetimes of all allocations in the C program, including those that are implemented using custom allocators or which cross into proprietary libraries? There's been a lot of research into this sort of thing over the years without much success. C/C++ programs can do things like tie allocation lifetimes to what buttons a user clicks, without ref counting or other mechanisms to ensure safety. It's not a good idea, but, they can do it.
The other obvious problem with trying to write such a static analysis is that the programs you're analyzing are by definition buggy and the lifetimes might not make sense (if they did, they wouldn't have memory safety holes and wouldn't need to be replaced). The only research I've seen on this problem of statically detecting what lifetimes should be does assume the code being analyzed is actually correct to begin with. I guess you could try and aim for a program that detects where lifetimes can't be worked out and asks the developer for help though.