Position templates selector in Gravity forms

The Gravity forms integration is great, but ideally we would like to change the position of the template selector - currently it just prints it after everything in the 'gform_page_footer' div, when really we would like to be able to position it like a regular form field.

Looking at the code I can see that it is currently positioned with JavaScript in the function nbt_render_user_registration_form, so I guess the hack would be to reposition it the same way.