I had not heard of that connection before, so I can’t speak to this specifically. Perhaps others here have?
I can imagine allergy symptoms in the eyes making TED symptoms worse, but it’s not so easy to offhand make a connection between allergies and thyroid symptoms. My first symptom was puffy eyes, which my doctor interpreted as allergic reaction and prescribed me Zyrtec, which worsened my symptoms LIKE CRAZY (soon the tremors were so bad that I couldn’t even recognize my own writing), so it would seem that you’d be better off avoiding the allergy symptoms than having to treat them with medications that made your thyroid symptoms worse, but all these are better questions asked of the doctors. ALL of them ~ your allergist, your GP, and your endo ~ may have information to contribute on this front.