You may find it useful to configure the self-service site to only display the SAMaccount details in parentheses while hiding the user's display name.
Currently it is only possible to remove the SAMaccount name from displaying on the self-service site (General Settings > Search and Logon Options > Security Settings > Show only user display name on the Self-Service site).
Product design. An enhancement request (TF00488731) has been created detailing the feature: hide display name on the self-service site, leaving only the SAMaccount details in parentheses.
The product team will evaluate the request and this feature may become available on a future release of the product.