Custom fields associated with Event Type broken in profile (again?)

I have discovered a problem, very similar if not exactly, like the one described here: https://issues.civicrm.org/jira/browse/CRM-15427

Profiles that include Custom fields that are associated with an Event Type are no longer showing up in the drop-down box for Events of that same type. In fact, no profiles are showing up in the drop-downs for selecting profiles on any event registration page, even profiles that include fields for any event. Profiles with EventType-specific fields are available to front-end users when registering online, but are not available to back-end users when registering or viewing a participant. (However, profiles with any Event fields are showing up to back-end users when registering or viewing a participant. )

When viewing the configuration for online registration, I get this warning: "The selected profile is using a custom field which is not assigned to the "Event" being configured." This is the case regardless of whether the assigned profile uses EventType-specific or just any custom fields.

I'm not sure when this changed, but it was recently, possibly after I updated from civi 4.6.7 to 4.6.8 just yesterday. (Over the last two weeks we have moved to a new server, updated from Joomla 2.5 to 3.4, and updated civi from 4.6.3 to 4.6.8, so there are a lot of variables.) I tested this on the version still on our old server - civi 4.6.3 - and it is not an issue for that release.