Hi,
The table display on the HikaShop form is indeed an old view display.
In fact, you can activate the "use bootstrap design" setting of the HikaShop configuration to switch to a div display without a table (it will however require bootstrap to be loaded by your template).
The plan for the future is to actually redo that registration form page to get ride of the table and boostrap so that it works with our own system, like on the checkout with divs, responsive no matter how the template is made, etc.