Lung ultrasound imaging is reaching growing interest from the scientific community. On one side, thanks to its harmlessness and high descriptive power, this kind of diagnostic imaging became largely adopted in sensitive applications, like the diagnosis and follow-up of preterm newborns in neonatal intensive care units. At the same time, novel image analysis and pattern recognition approaches can fully exploit the rich information contained in this data, making them attractive for the research community. In this work, we present a thorough analysis of recent deep learning networks and training strategies conducted on a vast and challenging multicenter dataset comprising 87 patients with different diseases and gestational ages. These approaches are firstly discussed in the context of lung respiratory status assessing through ultrasound imaging and then evaluated against a reference marker. The conducted analysis shed some light on this problem, by relating the criticisms that can mislead the training procedure and proposing some adaptations to the specific problem. The achieved results sensibly outperform that obtained by previous work, based on textural features, and narrow the gap with the visual score predicted by the human experts.