External Content Type Picker stale or missing entries

Scenario

• You have deleted and/or added some External Content Types to Business Connectivity Services
• You attempt to use the External Content Type Picker via a Chart Web Part or some other control
• You correctly see the external content types in SharePoint Designer and in the Central Admin BCS Service Application screens

Issue

• You see deleted External Content Types and/or do not see the newly added External Content Types

Resolution

• Reset IIS on the SharePoint Server(s)
• App pool recycle does not work