In our chapel service at Geneva Academy we use different prayers to distinguish the seasons. During Advent we’ve used prayers that are addressed to “Lord” but end with “who reignest with the Father and the Holy Ghost” meaning, these prayers are addressed to Jesus, rather than, as the model prayer, our Father in heaven.
Certainly there is nothing wrong with addressing prayers to Jesus or to the Holy Spirit, but the idea that the emphasis shifts depending on the season is something that has never occurred to me. In Advent then, we pray primarily to the Son, Pentecost is easy to line up with the Holy Spirit. Perhaps Ordinary Time or Trinity Season we would rotate. Any other thoughts?