It would make sense for the default value to be available via:
wp.customize.instance( 'slug_awesome_title' ).default
Or equivalently:
wp.customize( 'slug_awesome_title' ).default
However, I can see the default
is simply not getting exported from PHP to JS. I can see that this is going to be needed in core also when client-side templating replaces server-side rendering of controls in #30738, so a core patch would be needed.
Nevertheless, in the mean time you can add the following PHP to export your default
value onto the JS Setting
object to have mostly the same effect:
add_action( 'customize_controls_enqueue_scripts', function() {
global $wp_customize;
wp_add_inline_script( 'customize-controls', sprintf(
'wp.customize( "slug_awesome_title", function ( setting ) { setting.default = %s; } );',
wp_json_encode( $wp_customize->get_setting( 'slug_awesome_title' )->default )
) );
} );