dd2 has named school on her statement because of a psychological need (it was familiar as both her siblings had attended). However, the statement in and of itself was not for psych reasons - she has cerebral palsy and the statement was for physical and communication requirements. The school was not set up to cater for either, but the panel accepted our reasons for the placement (psychological as transition to a familiar environment would be easier for her than transition to a more suitably equipped school that could already meet her physical needs).
That said, all of this was in place for application, it wasn't done at appeal.
I can't imagine what the psychological need might be in this instance, if it wasn't obvious six months ago, so am struggling to comment on likelihood of appeal being upheld.
In our case, they then adapted the school for dd2 to attend to meet her Statemented needs. The following year it had become something of an SN hub as a result. I suspect they only considered the psych need because she was a Statemented child, rather than anything else, even though not Statemented for psych.
In order to bolster our request, we visited the other schools that they could have placed her, discussed her needs with the HTs of those schools, and commented accordingly in our supplementary material.
Dd2 was very well known to the authority though, as she was transitioning from a ms nursery, and so was going through the standard transition process for kids with sn. We had a good relationship with the Area IncO.