They are not engaged in a craft, art or science. This argument seems to suggest knighthoods for horsemanship or falconry, or for masters of the hunt. I do not think these are knightly activities because there is no historical antecedent for such an activity that falls within the real Middle Ages. Knights were combatants expected to demonstrate their prowess in jousts, in the lists, and in war. Laurels, as best we can manage, are similar to guildmasters, artisans and craftsmen who create objects or performances for the consumption of others.
Pelicans are service leaders, organizers who give to the society through their sheer effort.
There is a temptation to include them in the Order of the Laurel anyway, as come other kingdoms have done. After consideration, I am beginning to believe that if a body of people had contributed significantly to the body of the Society by these arts, that perhaps a fourth peerage, for sports, should be considered. This does, of course, open up many new questions. These are real questions. For myself, I am considering whether or not these arts have yet contributed to the Society in a way that is significant enough to account for peerages.