You can make a request at the podium.
1) The podium person (aka, SEATER) can send a text to the ASSIGNER from the check-in computer.
2) The ASSIGNER does not have to follow the request of the SEATER, but sometimes tries.
3) Once assigned, you take what you are assigned.
4) They will try to accommodate, but, remember, there are lots of other requests.
5) In most cases, no request is more important than another.
6) If sensory issues is a problem, maybe you should select eateries with less crowds or smaller venues.
7) But, please remember, in order to have faster table "turnover" few eateries at WDW are quiet, or have noise-absorbing devices.
8) In the "Food Biz" and
scientifically speaking,
. . . the colder the eatery, the more people eat sand drink
. . . the noisier the eatery, the quicker they eat and leave and allow the table to be given to another paying patron.
NOTE: BoG for breakfast and lunch are seat-yourself, so any request for a quiet area CANNOT be observed by the staff. Others can sit near you without assistance from an ASSIGNER or SEATER. So, even if you are near an outer edge, a LOUD and BOISTEROUS group could seat themselves adjacent to you table. For dinner, you might get lucky, but ask at the podium and not via phone call, as notes on an ADR are frequently overlooked..