Although variance-stabilization methods are used to eliminate or alleviate heterogeneous variance, the main goal of all preprocessing and normalization steps is to improve the result of downstream data analysis. It should be noted that a trivial way of stabilizing variance is to map data points to a constant value. Obviously, the problem with this trivial solution is that it destroys the information contained in the original data. This observation serves as a reminder that the choice of method for addressing heterogeneity of variance should be made by a cautious trade-off between the degree of variability and loss of information.