We decided to pursue another route in order to accomplish our goals.
There is an add to cart form for grouped products that allows you to add multiple products to the cart at once.
<form enctype="multipart/form-data" method="post" class="cart" action="/products/product-name/?add-to-cart=group&product_id=1123">
There may be an added script that processes each individual product that you are adding to the cart.