This thread is resolved. Here is a description of the problem and solution.
Problem: A theme or plugin is overriding a theme option on translated pages to the value on the original post. This option is stored as a custom field set up by the theme.
The custom field is being overridden by the original post value for that field. This indicates that the field is set to "Copy" by the theme's WPML Config File.
Solution: The setting by the theme can be changed by going to WPML -> Settings and scrolling down to the Custom Field Translation section. The affected custom field must be set to "Translate" or "Copy Once", instead of "Copy".
Relevant Documentation: https://wpml.org/documentation/getting-started-guide/translating-custom-fields/
This is the technical support forum for WPML - the multilingual WordPress plugin.