this is what i did to insert the SKU right below the price on a single product page (don't have this for category/list page)... hope it helps.
<script>
jQuery(document).ready(function() {
jQuery("<div id='sku'></div>").insertAfter(".ProductItem-product-price" );
var pathname = window.location.pathname;
jQuery.ajax({
url: pathname + "?format=json-pretty",
dataType: "json",
success: function (data) {
sku = data.item.structuredContent.variants[0].sku;
jQuery("#sku").html("<b>SKU:</b> " + sku);
}
});
});
</script>
