The Bug shows that cookies for search navigator only support latest search tab, interaction with the tabs can mix what is being viewed in the filters.

To reproduce:

1: create two search filters:

# JIRA

project = JIRA

# GreenHopper 

project = greenhopper

2: Now open each search filter in its on tab.

3: Now full reload JIRA tab. Now full reload GreenHopper tab.

4: Go back to JIRA tab, and click Edit to edit the JIRA search filter.

5: You will be shown the GreenHopper edit filter screen

This is not browser specific and seems to have to do with the cookie on the JIRA server.