I'm not sure they'd do so automatically but, given the ability to call functions (which it sounds like, for Rust, GDB lacks) it should be possible to plumb together.

But debuggers like GDB have built in infrastructure for expressing how to display structured, potentially nested data structures - it's built for the purpose and powerful, so it's nice to bring it to bear if you've not already got something equivalent in they program.

The other important thing is that the debugger's pretty printers work on a core file, without needing a live process.