I don't think it matters that they are appealing as a result of conditions at the test.
However, if there are a lot of appellants, what might matter is if they have academic cases and reasons for wanting a place that are so very strong as to overshadow yours. http://www.elevenplusexams.co.uk/appeal ... -school#c2
After hearing all the timely appeals, the panel (and it must be the same panel) has to balance each parental case against the prejudice to the school. They must then consider whether the school could cope with the total number of (potentially) successful appeals. If they decide the school could not cope, they are obliged to move away from “each case is considered purely on its own merits,” and they have to start comparing cases. They put all the cases in what they consider to be order of merit, and starting with the strongest they work their way through the list, deciding in each case whether the parental case outweighs the prejudice to the school. If they think that it does, then a place is offered. (Each time they decide to admit an extra pupil, of course, the prejudice to the school has become greater, and they will be conscious of this as they move on to take their decision on the next case.)