Rust doesn't sound too unrealistic, given that they were one of its first big commercial users.
Edit: at 30:05 in that video, he briefly talks about a forthcoming (as of 2017) "full redesign + rewrite of Dropbox's 'sync engine' in Rust." He claims it will use 10x less memory, and be 50x faster on key operations.
strings /Applications/Dropbox.app/Contents/Frameworks/libdropbox_watchdog.dylib | grep -i rust shows some hits:
__ZN14rustc_demangle8demangle17h2ad719809986c0fcE
_rust_begin_unwind
/Users/vagrant/client-dropbox-python/dropbox-virtual-env-3985da1e510f-mac-x86_64-10.14/rust/lib/rustlib/x86_64-apple-darwin/lib/libcompiler_builtins-f10e664516557f83.rlib(compiler_builtins-f10e664516557f83.compiler_builtins.7wkmozn8-cgu.0.rcgu.o)
___rust_probestack
/Users/travis/.cargo/registry/src/github.com-1ecc6299db9ec823/compiler_builtins-0.1.5/src/probestack.rs
___rust_alloc
___rust_dealloc
___rust_realloc
___rust_alloc_zeroed
/Users/vagrant/src/client/rust_vendor/hyper-0.10.13/src/buffer.rs
/Users/vagrant/src/client/rust_vendor/serde_json-1.0.33/src/read.rs
...
Looks like they use it fairly lightly though.