### 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)

GLES3::Material *material = material_owner.get_or_null(p_material);
	ERR_FAIL_NULL(material);
	if (material->data) {
		memdelete(material->data);
		material->data = nullptr;
	}
	if (material->shader) {
		material->shader->owners.erase(material);
		material->shader = nullptr;
		material->shader_mode = RS::SHADER_MAX;
	}
	if (p_shader.is_null()) {
		material->dependency.changed_notify(Dependency::DEPENDENCY_CHANGED_MATERIAL);
		material->shader_id = 0;
		return;
	}
	Shader *shader = get_shader(p_shader);
	ERR_FAIL_NULL(shader);
	material->shader = shader;
	material->shader_mode = shader->mode;
	material->shader_id = p_shader.get_local_index();
	shader->owners.insert(material);
	if (shader->mode == RS::SHADER_MAX) {
		return;
	}
	ERR_FAIL_NULL(shader->data);
	material->data = material_data_request_func[shader->mode](shader->data);
	material->data->self = p_material;
	material->data->set_next_pass(material->next_pass);
	material->data->set_render_priority(material->priority);