Most popular dependency management systems literally linking to a git sha commit (tag), see locks file that npm/rebar/other tool gives you. Just in a recursive way.
A native submodule approach would fail at link time or runtime due to attempt to mix incompatible files in the same build run. Or, in some build systems, simply due to duplicate symbols.
That "just in a recursive way" addition hides a lot of important design decisions that separate having dependency manager vs. not having any.