“Tomato! Tomato! Tomato! The Tour” brings Rock/Pop songwriting into The Bowery Ballroom, a room with long ties to New York City’s touring circuit and independent music culture. The bill features Elio Mei and Madds Buckley, working in the borderland between pop hooks and rock-forward arrangements. The show reads as a document of how online-era artists translate studio intimacy into a live set. One takeaway is its emphasis on voice and lyric as the main instrument, with production kept secondary.