In this paper, we study the relation between biflatness and left character amenability of Banach algebras. Moreover, we prove that if A is a φ-biflat Banach algebra with a closed ideal I such that AI + IA = I, then the quotient algebra A/I is eφ-biflat. These results correct certain conclusions from [5], and we provide counterexamples that highlight the shortcomings of some of the claims made in that work.