### Godot version

v4.2.beta1.official [b1371806a]

### System information

Ubuntu 22.04.3 LTS 22.04 - X11 - GLES3 (Compatibility) - AMD Radeon RX 560 Series (polaris11, LLVM 15.0.7, DRM 3.42, 5.15.0-88-generic) () - AMD Ryzen 3 1200 Quad-Core Processor (4 Threads)

### Issue description

![image](https://github.com/godotengine/godot/assets/1330325/7a986599-5a68-42a4-beb1-5d3b4bf7db6b)
![image](https://github.com/godotengine/godot/assets/1330325/e8b8546b-b47b-4add-9567-7f70709ab03c)

Culling 3D goes bellow 60 fps even with just about 50 simple animated models. With v4.2.dev6.official [57a6813bb] many more models can be spawned without fps drop. However, both versions do show high cpu usage for culling 3D. Without animations there's barely any usage.

### Steps to reproduce

Spawn models with animation with the Compatibility renderer.

### Minimal reproduction project

[CullMRP.zip](https://github.com/godotengine/godot/files/13400514/CullMRP.zip)

return shader_owner.allocate_rid();
}
void MaterialStorage::shader_initialize(RID p_rid) {
	Shader shader;
	shader.data = nullptr;
	shader.mode = RS::SHADER_MAX;
	shader_owner.initialize_rid(p_rid, shader);
}
void MaterialStorage::shader_free(RID p_rid) {
	GLES3::Shader *shader = shader_owner.get_or_null(p_rid);
	ERR_FAIL_NULL(shader);
	
	while (shader->owners.size()) {
		material_set_shader((*shader->owners.begin())->self, RID());
	}
	
	if (shader->data) {
		memdelete(shader->data);
	}
	shader_owner.free(p_rid);
}
void MaterialStorage::shader_set_code(RID p_shader, const String &p_code) {