Doctors are told to give Levothyroxine as a thyroid hormone replacement and T3 is extremely difficult to get prescribed (cost).
As your very interesting article points out T3 will help with physiologic and emotional stress, depression, dieting and obesity, insulin resistance, diabetes, chronic fatigue syndrome and fibromyalgia, inflammation, autoimmune disease, or systemic illness.
The article is proving how standard thyroid tests often do not reflect the thyroid status in the tissues of the body (apart from the pituitary) once again proving how useless the TSH test used alone really is.
The addition of T3 to T4 medication would definitely help with your oesteoporosis, even if indirectly. It's the getting of T3 in the first place which is the problem.