Can Loggintobbogan be used wtih Drupal commerce?

I would like to keep a login box at the top of screen all the time as above on this site.

Customers don't like leaving sites where they cannot logout, especially after they have shared financial information.

Customers don't know all that has gone on with the payment processor and look to the online store they are in for security *in many instances.

1. I don't care if anonymous users see a horz login registration at the top of the page.