Ypurgos you asked ...."would applying biuret to this tree in January counter the alternate bearing tendency'
The answer is it would not completely counter the alternate bearing, but it would help. The fertilizer goal for the heavy crop year with alternate bearing trees is to provide adequate fertilizer to support the developing crop, and to also support the summer vegetative shoot growth (normally in June) which become the blooming shoots for the following year (the off crop year). Therefore, be sure to also apply a low biuret urea foliar spray directly after the tree's early drop period. (After a citrus tree blooms the tree will set many more small fruitlets than the tree can possibly supply enough energy to bring all of them to maturity, so it drops a great number of the new fruitlets, plus many of the flowers that never set -- this is called the Early Drop). Foliar spraying low biuret urea directly after the early drop should supply much of the energy to greatly help with fruit set during the off year.