Svāmī means when one becomes master of the senses. As Kṛṣṇa is the master of senses, so when one becomes Kṛṣṇa conscious, he becomes master of the senses. It is not that senses should be stopped. No. It should be controlled. "When I require, I shall use it; otherwise not." That is master of senses. "I shall not act impelled by the senses. Senses should act under my direction." That is svāmī.
Therefore Arjuna is called Guḍākeśa. He is master of... He is also, when he likes. He is not a coward, but he is compassionate because he is devotee. Because he is devotee of Kṛṣṇa... Anyone who becomes a devotee of Kṛṣṇa, all the good qualities manifest in his body. Yasyāsti bhaktir bhagavaty akiñcanā sarvair guṇais tatra samāsate surāḥ (SB 5.18.12). All godly qualities. So Arjuna, he is also... Otherwise how he can become intimate friend of Kṛṣṇa unless of the same position? Friendship becomes very strong when both the friends (are) on equal level: same age, same education, same prestige, same beauty. The more similarity of position, then the friendship is there, strong. So Arjuna is also on the same level of Kṛṣṇa.