### 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)

while (skeleton_dirty_list) {
		Skeleton *skeleton = skeleton_dirty_list;
		if (skeleton->size) {
			glBindTexture(GL_TEXTURE_2D, skeleton->transforms_texture);
			glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA32F, 256, skeleton->height, 0, GL_RGBA, GL_FLOAT, skeleton->data.ptr());
			glBindTexture(GL_TEXTURE_2D, 0);
		}
		skeleton_dirty_list = skeleton->dirty_list;
		skeleton->dependency.changed_notify(Dependency::DEPENDENCY_CHANGED_SKELETON_BONES);
		skeleton->version++;
		skeleton->dirty = false;
		skeleton->dirty_list = nullptr;
	}
	skeleton_dirty_list = nullptr;
}
void MeshStorage::skeleton_update_dependency(RID p_skeleton, DependencyTracker *p_instance) {
	Skeleton *skeleton = skeleton_owner.get_or_null(p_skeleton);
	ERR_FAIL_NULL(skeleton);
	p_instance->update_dependency(&skeleton->dependency);
}
#endif