That is *indeed* the service name that the job is running under.
You can force a job to run under a particular service using the job class, eg
begin
DBMS_SCHEDULER.CREATE_JOB_CLASS (
job_class_name=>'MY_JOB_CLASS',
service=>'MY_SERVICE');
end;
/
grant execute on sys.MY_JOB_CLASS to [user];
and then submit jobs with that job class.