Well-said. Generally a sense of respect, love, or good vibes towards the deities always helps develop a better connection. Most times, the state of space, body and mind are stressed in traditional deity work as all three affect the energy system and may hinder an energetic link with the deity, if chaotic. So, these observances initially will help, but are not absolutely necessary as Dream creates these fields to make the energies accessible to all, with not much effort on our parts.
The higher your vibration - whatever be the way for one to get there (purity of body and mind, meditative state, space clearing, food habits, etc.) - better the connection.
This is true for most but then there are also Aghoris and some such sects who follow no rules, of space or bodily purity or otherwise, and yet have tremendous inner purity due to their extreme disattachment to everything, and the ability to see divinity in the sacred and the profane.
So, I would not worry too much or get too held up on applying the actual rules needed during the Yagna, to listen to these fields.