I don't know anything about EoE or Tecta
I do have nightly acid reflux which is controlled by a raised head of the bed a low dose PPI and Gaviscon Advance liquid. I don't really have heartburn in the day. Just reflux at night and if bending down, when weeding the garden for example...so it seems postural to me
I don't think you said what the endoscopy revealed?
I haven't thought of it as an allergy but I too get the choking feeling with aspirin and chocolate (which I should be avoiding with reflux)
Sometimes my own saliva goes down the wrong way causing coughing fits. And 3 times food has gone down the wrong way in a very scary way (twice it felt life threatening) Each time I have been eating sweets
I thought as I must have a lax LES Spincter which lets acid/bile up maybe the valve at my throat is faulty too
My Sister and Daughter have the throat thing to a lesser extent, and my Mum had it bad. She called it her 'funny throttle'. She did live to her mid eighties though

I have mentioned it at the Doctors, but not received much feedback
So like you I chew thoroughly, and am keeping off sweets
I know how scary it is
If your endoscopy had revealed reflux damage you'd have been offered a PPI I think
Though if in the early stages of relux no damage may have been evident
It's understandable to not like taking medications every day. But I am on blood pressure and cholesterol lowering medication every day for life and am glad about that as it reduces the risk of heart attack/strokes
Try not to worry....it makes everything worse
Edited to add I looked up Tecta...it IS a PPI (Pantoprazole)
For anyone who has to be on a PPI long term it makes sense to supplement with calcium magnesium and a multi vit as PPI'S impair take up of nutrients due to reduced acid