### 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)

material->shader_mode = new_mode;
			if (material->data) {
				memdelete(material->data);
				material->data = nullptr;
			}
		}
		shader->mode = new_mode;
		if (new_mode < RS::SHADER_MAX && shader_data_request_func[new_mode]) {
			shader->data = shader_data_request_func[new_mode]();
		} else {
			shader->mode = RS::SHADER_MAX; 
		}
		for (Material *E : shader->owners) {
			Material *material = E;
			if (shader->data) {
				material->data = material_data_request_func[new_mode](shader->data);
				material->data->self = material->self;
				material->data->set_next_pass(material->next_pass);
				material->data->set_render_priority(material->priority);
			}
			material->shader_mode = new_mode;
		}
		if (shader->data) {
			for (const KeyValue<StringName, HashMap<int, RID>> &E : shader->default_texture_parameter) {
				for (const KeyValue<int, RID> &E2 : E.value) {
					shader->data->set_default_texture_parameter(E.key, E2.value, E2.key);
				}
			}
		}
	}