After considering my options on how to do this it dawned on me that as it is coded and explained now the AdminTabStripCreated event handler functionality could be re-purposed to provide any injected javascript functionality for any page along with id, etc.
After realizing the accepted way of adding a tab to the tab strip is via javascript it wasn't difficult to make the leap that any javascript could be added to manipulate the page. Please see code snippet below as an example, the code adds a button to the save, copy, delete region of the product details page and works flawlessly.
if (eventMessage.TabStripName == "product-edit")
{
var productId = Convert.ToInt32(eventMessage.Helper.ViewContext.RouteData.Values["id"]);
string url = "/Admin/Plugins/ErpIntegration/ImportErpProductPricing/" + productId;
var sb = new StringBuilder();
sb.Append("<script language=\"javascript\" type=\"text/javascript\">");
sb.Append(Environment.NewLine);
sb.Append("$(document).ready(function () {");
sb.Append(Environment.NewLine);
sb.Append("$('#copyproduct').before('<input type=\"button\" id=\"erppriceimport\" name=\"erppriceimport\" class=\"k-button\" value=\"Import ERP Pricing\">');");
sb.Append(Environment.NewLine);
sb.Append("$('#erppriceimport').on('click', function() { $.get(\"" + url + "\", function( data ) { location.reload(); }); });");
sb.Append(Environment.NewLine);
sb.Append("});");
sb.Append(Environment.NewLine);
sb.Append("</script>");
sb.Append(Environment.NewLine);
eventMessage.BlocksToRender.Add(MvcHtmlString.Create(sb.ToString()));
}