Jason of WA reviewed the page and determined there was something in the custom template I was using on the page was confilcting with DataAssist being able to sucessfully add the complete code to the page.
Create a blank page (no template) and add the recordset (exact same name) to the new blank page.
Run the DataAssist Repeating Table Wizard on the new blank page.
Copy both parts of the generated code to the same parts of the templated page.
(There is a php block generated directly before the <DOCTYPE> tag with "RepeatSelectionCounter_1 Initialization" in it and then all of the <table> code generated in the <body>.)
Add the recordset information you want to repeat to the first <td> tag. Leave the second <td> tag alone.
That should do it.