Can't find it now, but recently this thyroid effect was discussed and, if I remember it right, wasn't conclusive about the acetyl form of carnitine. Also the article you linked to isn't really:
There is no doubt that carnitine, a humble molecule used in the basic economics of cellular energy, holds the key to preventing and even reversing muscle damage and weakness from a variety of causes, including hyperthyroidism. Clinical trials investigating L-carnitine in thyroid conditions have utilized doses ranging from 2,000 to 4,000 mg daily. While these studies have focused on L-carnitine, advanced carnitine formulations such as acetyl-L-carnitine, acetyl-L-carnitine arginate, and propionyl-L-carnitine may also offer promise for individuals who suffer from thyroid conditions. More research is needed to determine which carnitine formulations are most beneficial for modulating the adverse effects of hyperthyroidism.
In my own case I used regular l-carnitine for 2 years, and tested thyroid since 1 year regularly, where my TSH, T3 and T4 all went from sub-clinical hypo to worse. Only recently, when I replaced the biggest part of carnitine with some of the other forms (mainly Optimized Carnitine from LEF) my thyroid results went better for the fist time again.
I take about 2g in total, how much you took? Did your swelling recede with stopping the ALCAR?