### 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)

mesh_clear(p_rid);
	mesh_set_shadow_mesh(p_rid, RID());
	Mesh *mesh = mesh_owner.get_or_null(p_rid);
	ERR_FAIL_NULL(mesh);
	mesh->dependency.deleted_notify(p_rid);
	if (mesh->instances.size()) {
		ERR_PRINT("deleting mesh with active instances");
	}
	if (mesh->shadow_owners.size()) {
		for (Mesh *E : mesh->shadow_owners) {
			Mesh *shadow_owner = E;
			shadow_owner->shadow_mesh = RID();
			shadow_owner->dependency.changed_notify(Dependency::DEPENDENCY_CHANGED_MESH);
		}
	}
	mesh_owner.free(p_rid);
}
void MeshStorage::mesh_set_blend_shape_count(RID p_mesh, int p_blend_shape_count) {
	ERR_FAIL_COND(p_blend_shape_count < 0);
	Mesh *mesh = mesh_owner.get_or_null(p_mesh);
	ERR_FAIL_NULL(mesh);
	ERR_FAIL_COND(mesh->surface_count > 0); 
	mesh->blend_shape_count = p_blend_shape_count;
}
bool MeshStorage::mesh_needs_instance(RID p_mesh, bool p_has_skeleton) {
	Mesh *mesh = mesh_owner.get_or_null(p_mesh);
	ERR_FAIL_NULL_V(mesh, false);
	return mesh->blend_shape_count > 0 || (mesh->has_bone_weights && p_has_skeleton);
}
void MeshStorage::mesh_add_surface(RID p_mesh, const RS::SurfaceData &p_surface) {