insanity What your daughter received was effective support.
However the ineffective support, not doing anything re. swimming cancellation, child anxious in a group of non academic equals, could have happened in a school under the previous legislation. (Has frequently, the SN boards illustrate this only too well). They balance the disruption caused by one anxious child (could be that they just withdraw) child against using their designated funding to manage more disruptive non- statemented children.
I think what you have with your daughter's school is genuinely caring, sensitive, understanding and professional staff. This data can be used by the government to champion a pro-active approach. Although some children may actually need this approach to be on a sliding scale basis, they become less anxious over changes in routine through positive experience and can self manage.
I expect your daughter's school will be fully capable of documenting effective provision, a long as they have the courage of their convictions.
When dealing with staff that are not quite up to that calibre, possibly through no fault of their own, anything which could encourage them to reflect on what effective support actually looks like will be a good thing.
Effective support is cost effective, however it is funded. It may be that your daughter uses only 5k of the support and no more, in which case your school will know it is worth spending all of that 5K (with a floating TA) to prevent having to provision map. It is not in the school's best interests to escalate needs with the current legislation. In this case trying to present a false picture of need would have a worse outcome for the school and your daughter.