Profiles triggered by custom code are enlisted by default. They cannot be unlisted. Tested with the v1.23.0 and the v1.25.0.
$this->blackfireClient = new Client();
$this->config = new Configuration();
or
$this->blackfireClient = new Client();
$this->config = (new Configuration())
->setMetadata('skip_timeline', 'true')
;
both lead to enlisted results.