No graceful degradation for global filter with javascript disabled

Currently regular view filters have a form of graceful degradation built in for filter form submits when javascript is disabled.
In such cases the form simply renders a regular HTML submit button for the filter form.
Global filter however doesn't have this feature and is therefor unusable without javascript enabled.

There are some issues registered for the main View components, perhaps a solution for Global Filter can be inspired on those?

https://www.drupal.org/node/1904514