### 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->next_pass == p_next_material) {
		return;
	}
	material->next_pass = p_next_material;
	if (material->data) {
		material->data->set_next_pass(p_next_material);
	}
	material->dependency.changed_notify(Dependency::DEPENDENCY_CHANGED_MATERIAL);
}
void MaterialStorage::material_set_render_priority(RID p_material, int priority) {
	ERR_FAIL_COND(priority < RS::MATERIAL_RENDER_PRIORITY_MIN);
	ERR_FAIL_COND(priority > RS::MATERIAL_RENDER_PRIORITY_MAX);
	GLES3::Material *material = material_owner.get_or_null(p_material);
	ERR_FAIL_NULL(material);
	material->priority = priority;
	if (material->data) {
		material->data->set_render_priority(priority);
	}
	material->dependency.changed_notify(Dependency::DEPENDENCY_CHANGED_MATERIAL);
}
bool MaterialStorage::material_is_animated(RID p_material) {