If your code is plain C, then anyone can extend it with, or embed it inside, code of literally any other language; and in so doing, they will have full access/exposure to everything in your codebase — all the same stuff that they would if they were writing their host/extension code in C.

This is not true of C++ (or most other languages):

• C++ has a runtime (however minimal); and so, by including any C++ code in a codebase, you're making it much more difficult to link/embed the resulting code — you now have to also dynamically link the C++ runtime, and ensure that your host code spins it up "early", before any of the linked C++ code gets to run. (This may even be impossible in some host languages!)

• Also, even if there was no associated runtime to deal with, C++ isn't wholly C-FFI-clean. All the stuff that people like about C++ — all the reasons you'd want to use C++ — result in codebases that aren't cleanly C-FFI exposable, due to name mangling, functions taking parameters with non-C-exportable types, methods + closures not being C-FFI thunkable [and functions returning those], etc.

• And even if you bite that bullet, and write your library in C++ but carefully wrap its API to give it C-FFI-clean linkage (usually via a hybrid C / C++ project), this still introduces a layer of FFI runtime overhead. When another non-C language consumes your code, it's then getting double FFI overhead — a call from its code to yours has to convert from its abstractions, to C's abstractions, to C++'s abstractions, and back. (This is why you don't tend to see e.g. non-C++ projects embedding LLVM, or LLVM being extended with non-C++ passes, despite LLVM being designed in this "C wrapper around a C++ core" style.)

C is one of the only languages with a zero-impedance-mismatch, zero-overhead default or forced binding of external symbols to the C FFI (i.e. the C set of platform ABIs + C symbol naming standard.)

The others that do this are: C3 (https://c3-lang.org/); Zig, unless you do weird things on purpose, and... that's really it. Everything else has the same two problems as C++ outlined above.

Even Rust, even Odin, etc. only provide C-FFI linkage as an opt-in feature; and they do nothing to incentivize use of it; and so, of course, due to their useful non-C-FFI-clean features, developers are disincentivized from ever enabling it before they "need" it. So in practice, most libraries in those languages are not consumable from C [or other C-FFI-compatible languages] — and most software in those languages are not extendable in C [or another C-FFI-compatible language] — without extra effort on the upstream's part to add explicit support for doing that. And most upstreams don't bother.

Writing software in C itself, is essentially a way for a project to "tie itself to the mast" and commit to its ABI always being C-FFI clean; such that it can be consumed not only from C, but also from any other language a project might use that supports importing C-FFI libraries. (Which is most languages.)