Yes it would.
Also, you don't need to paste the parts in the same model, you could just create a duplicate model if you wish... as long as each part appears the correct number of times in the file, it doesn't matter which submodel it is in, because submodels are all joined anyway, but please understand that this is not a proper solution at all. It just works in this case. You shouldn't rely on it to work for all models.
Also, you don't need to paste the parts in the same model, you could just create a duplicate model if you wish... as long as each part appears the correct number of times in the file, it doesn't matter which submodel it is in, because submodels are all joined anyway, but please understand that this is not a proper solution at all. It just works in this case. You shouldn't rely on it to work for all models.