Here's an alternate translation (G. P. Bhatt & J. L. Shastri) of that verse where there is no mention of cinema songs or any type of songs for that matter:
- Oh Acyuta! My ungratified palate drags me in one direction and sexual desire (lit. the genital organ) pulls me to a different direction, while the senses of touch, hearing and the abdomen gravitate me to some other direction. My olfactory sense, the constantly moving eye and faculties of action draw me in different directions — all these pull (in different directions) like a number of co-wives dragging their lord of the house (to their bed-rooms).
As to why Prabhupāda chose those particular words in his translation, the likely reason is, he wants his disciples to stay away from anything that has to do with the movies. According to him, the only songs his followers should sing and listen to are a few songs about Kṛṣṇa approved by ISKCON:
In our Kṛṣṇa consciousness movement we do not allow any song that has not been approved or sung by bona fide devotees. We cannot allow cinema songs to be sung in the temple. We generally sing two songs. One is śrī-kṛṣṇa-caitanya prabhu nityānanda śrī-advaita gadādhara śrīvāsādi-gaura-bhakta-vṛnda. This is bona fide. It is always mentioned in the Caitanya-caritāmṛta, and it is accepted by the ācāryas. The other, of course, is the mahā-mantra — Hare Kṛṣṇa, Hare Kṛṣṇa, Kṛṣṇa Kṛṣṇa, Hare Hare/ Hare Rāma, Hare Rāma, Rāma Rāma, Hare Hare. We may also sing the songs of Narottama dāsa Ṭhākura, Bhaktivinoda Ṭhākura and Locana dāsa Ṭhākura, but these two songs — "śrī-kṛṣṇa-caitanya" and the Hare Kṛṣṇa mahā-mantra — are sufficient to please the Supreme Personality of Godhead, although we cannot see Him.
His dislike towards movie songs is also evident from his commentary on another verse:
But here we find that millions and millions of years ago, when Nārada Muni was a Gandharva, he neglected the order to glorify the Lord, and being mad in the association of women, he began to chant otherwise. Thus he was cursed to become a śūdra. His first offense was that he went to join the saṅkīrtana party in the company of lusty women, and another offense was that he considered ordinary songs, like cinema songs and other such songs, to be equal to saṅkīrtana. For this offense he was punished with becoming a śūdra.