### Godot version

4.0.3-stable

### System information

Windows 10

### Issue description

In some projects ViewportTexture remains pink and doesn't render viewport content after upgrading from 4.0.2-stable to 4.0.3-stable. If a pair of files viewport.h/viewport.cpp are downgraded back to what they were in 4.0.2-stable, problem goes away.

This is how it looks in 4.0.3-stable:
![4 0 3_stable_viewport_4 0 3](https://github.com/godotengine/godot/assets/1449921/44c191a9-4b67-4b02-90b6-4ab615f62a73)

And this is how it looks if viewport.h/viewport.cpp are downgraded back to what they were in 4.0.2-stable.
![4 0 3_stable_viewport_4 0 2](https://github.com/godotengine/godot/assets/1449921/f5abc605-f129-4222-9c0e-e9a07621dd9d)



### Steps to reproduce

Unfortunately, I cannot come up wit a simple demo project reproducing the problem. It exists in some projects and doesn't exist in others.


### Minimal reproduction project

Cannot produce a simple project reproducing the problem. In simple projects it works fine.
if (path == p_path) {
		return;
	}
	path = p_path;
	vp_changed = true;
	if (vp) {
		vp->viewport_textures.erase(this);
		vp = nullptr;
	}
	if (proxy.is_valid() && proxy_ph.is_null()) {
		proxy_ph = RS::get_singleton()->texture_2d_placeholder_create();
		RS::get_singleton()->texture_proxy_update(proxy, proxy_ph);
	}
	if (get_local_scene() && !path.is_empty()) {
		setup_local_to_scene();
	} else {
		emit_changed();
	}
}
NodePath ViewportTexture::get_viewport_path_in_scene() const {