Though a little suspicious this time,the policeman gave him

Though a little suspicious this time,the policeman gave him the same answer.
Though a little suspicious this time,是个让步状语从句,主语和谓语动词都被省略了.如果我把它改成现在分词做状语不知道对不对?
Being a little suspicious this time,the policeman gave him the same answer.
有人说 原句是省掉了being,可以这样理解吗?