Ordering after an Advanced Search drops the search criteria

Ordering after an Advanced Search drops the search criteria, which is rather inconvenient.

To reproduce:

Start at something like:

https://bugs.edge.launchpad.net/ubuntu/+bugs

Hit advanced search

https://bugs.edge.launchpad.net/ubuntu/+bugs?advanced=1

Pick a subscriber to a bug, hit search (in this case, ubuntu-universe-sponsors) - presumably any other search criteria does this too.

https://bugs.edge.launchpad.net/ubuntu/+bugs?field.searchtext=&orderby=-importance&assignee_option=any&field.assignee=&field.bug_reporter=&field.bug_supervisor=&field.bug_commenter=&field.subscriber=ubuntu-universe-sponsors&field.component-empty-marker=1&field.status_upstream-empty-marker=1&field.omit_dupes.used=&field.omit_dupes=on&field.has_patch.used=&field.has_cve.used=&field.tag=&field.tags_combinator=ANY&field.has_no_package.used=&search=Search

Reorder the bugs (such as newest first)

Result: All the bugs in ubuntu are shown, and the advanced search criteria is removed.
What should happen: The bugs from the previous URL should be shown, with the new order.