So keep in mind that while it's very possible that if a similar study were conducted with T3 drugs, the results would be similar, there is some chance that it would impact sleep quality in some patients. Only make such a change after discussing it with your doctor.
Optimally, some doctors have suggested that patients who take medications use a time-released or sustained release formulation of T3, or T3 split their doses. This approach seems to minimize sleep interference.
Again, if you do make a change to how you take your T3 thyroid medication, you'll want to have a reevaluation of blood levels and symptoms after several weeks, to determine if you need to adjust the dosage or timing of your medication.
Bolk, Nienke MD; et. al. "Effects of Evening vs Morning Levothyroxine Intake: A Randomized Double-blind Crossover Trial." Archives of Internal Medicine. 2010;170(22):1996-2003, Vol. 170 No. 22, Dec 13/27, 2010, Clinical Endocrinology 66 (1), 43-48, Volume 66, Issue 1, pages 43-48, January 2007