### 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)

if (shader->data) {
		shader->data->set_code(p_code);
	}
	for (Material *E : shader->owners) {
		Material *material = E;
		material->dependency.changed_notify(Dependency::DEPENDENCY_CHANGED_MATERIAL);
		_material_queue_update(material, true, true);
	}
}
void MaterialStorage::shader_set_path_hint(RID p_shader, const String &p_path) {
	GLES3::Shader *shader = shader_owner.get_or_null(p_shader);
	ERR_FAIL_NULL(shader);
	shader->path_hint = p_path;
	if (shader->data) {
		shader->data->set_path_hint(p_path);
	}
}
String MaterialStorage::shader_get_code(RID p_shader) const {
	const GLES3::Shader *shader = shader_owner.get_or_null(p_shader);
	ERR_FAIL_NULL_V(shader, String());
	return shader->code;
}
void MaterialStorage::get_shader_parameter_list(RID p_shader, List<PropertyInfo> *p_param_list) const {
	GLES3::Shader *shader = shader_owner.get_or_null(p_shader);
	ERR_FAIL_NULL(shader);
	if (shader->data) {
		return shader->data->get_shader_uniform_list(p_param_list);
	}
}
void MaterialStorage::shader_set_default_texture_parameter(RID p_shader, const StringName &p_name, RID p_texture, int p_index) {