Clearly the mental attitude within each of them differs a bit. Will give you some examples. Padmasana will show us the sacred , the mind moving upwards, beyond the lower aspects of attachment towards the objects of the mind itself and reaching the skies and what they represent to each of us. Chakarasana (unfortunately I am obliged to focus on the modern performance of this asana once I don't know and never had visual access to the traditional one showed by the Upanishads) opening all the frontal spaces of the body upwards and elevating the body upwards as well.
Chakrasana in a modern performance.
Nomenclature can change and you can also find it as bridge pose or urdwa dhanurasana