"Passed List had more than one value." error on upgrade triggers "Could not upgrade due to non default statuses"

Some users' data causes the JIRA 2.5 upgrade task to fail. The exception in the log is:

2003-11-13 18:47:55,202 ERROR [atlassian.jira.upgrade.UpgradeManagerImpl] Exception thrown during upgrade: Passed List had more than one value.
java.lang.IllegalArgumentException: Passed List had more than one value.
at org.ofbiz.core.entity.EntityUtil.getOnly(EntityUtil.java:58)
at com.atlassian.jira.upgrade.tasks.UpgradeTask_Build56.doUpgrade(UpgradeTask_Build56.java:77)
at com.atlassian.jira.upgrade.UpgradeManagerImpl.doUpgradeTaskSucess(UpgradeManagerImpl.java:565)
at com.atlassian.jira.upgrade.UpgradeManagerImpl.doUpgrade(UpgradeManagerImpl.java:318)
at com.atlassian.jira.upgrade.UpgradeManagerImpl.doUpgradeIfNeeded(UpgradeManagerImpl.java:264)
at com.atlassian.jira.upgrade.UpgradeManagerImpl.doUpgradeIfNeededAndAllowed(UpgradeManagerImpl.java:252)
at com.atlassian.jira.action.admin.DataImport.doExecute(DataImport.java:90)
at webwork.action.ActionSupport.execute(ActionSupport.java:154)
at com.atlassian.jira.action.JiraActionSupport.execute(JiraActionSupport.java:46)
at com.atlassian.jira.action.JiraNonWebActionSupport.execute(JiraNonWebActionSupport.java:34)
at webwork.dispatcher.GenericDispatcher.executeAction(GenericDispatcher.java:131)

However JIRA works normally after this, until the user next restarts JIRA. Then they get this exception:

2003-11-13 18:55:25,312 ERROR [atlassian.jira.upgrade.UpgradeManagerImpl] Exception thrown during upgrade: Could not upgrade due to non default statuses. Please contact support@atlassian.com for more information.
java.lang.Exception: Could not upgrade due to non default statuses. Please contact support@atlassian.com for more information.

This prevents further use of JIRA.