“I urge that supplications, prayers, intercessions, and thanksgivings be made for all people ...”
Sometimes the lists we find in scripture consist largely of different words that mean essentially the same thing; synonyms multiplied for the purpose of reinforcing the author’s intended meaning through repetition. Other times they do not. This is one of those cases: the four words are not exactly synonyms. While there is some overlap, each word Paul uses to describe types of prayer has a different shade of meaning and each conveys a new thought.
It’s probably a worthwhile exercise to re-examine each of these terms to make sure they really mean precisely what we think they do. I find studies of this sort produce the occasional surprise.