You haven't screwed it up. No worries. There are all kinds of bacteria and wild yeast in each scoby, not just acetobacter. Limiting the acetobacter won't leave you with just alcohol. More than just the aceto convert the alcohol to different acids. So essentially, you would be able to limit acetic acid production, but still have a sour, low-alcohol, fermented tea if you went that route.
Next week I'll be bottling a batch of a rye pale ale that I had about 1 liter leftover of the batch so I decided to ferment it with kombucha. I didn't have it completely sealed, but I tried to limit the oxygen a bit - it was in a large mason jar with the lid closed, but no gasket to seal it.
I would try it if I were you, but maybe split the scoby that you have now, in case you don't like the results.