There are some real misconceptions on this thread. The SEN Code pf Practice is very clear as to the procedure of placing a child with a statement:
-The provisional statement is issued.
-The provisional statement must not state a school at this stage.
-The parents name a school that they have a preference for.
-The LA send the statementing document to the preferred school.
-The Head Teacher reviews those documents and informs the LA whether they feel that they can meet the child's Special Educational Needs by making the provisions set out in the Statement of SEN.
-The school may say they can't meet the needs of the child. That can include practical reasons - for example, a classroom is designed to hold 30 children and 2 teaching staff, say. If the school is small and has a mixed YR R/1 class which already has 3 children with 1:1 (it happens; schools get a reputation for being SN friendly), then having a 4th child with the need for 1:1 means that you have 30 children and 6 adults in the classroom. That doesn't sound too bad, but it's 4 extra chairs, 4 extra voices during lessons, all talkng about different things, etc.
-If the school says they can't meet the needs of the child, the LA decides if they agree. If they do, they inform the parents. If they don't, they 'direct' the school to admit the child.
Schools don't always get specific funding to go with a child's statement. That is irrelevant. All schools get funding for meeting the needs of children with SEN, and at any rate, the LA retains responsiblity for children with Statements, and it is they who have the duty to meet the needds expressed on a Statement.
Bear in mind, though, that around 20% of children are on the SEN register at any one time, and only 2% of children have Statements. It doesn't necessarily translate that the children who need a Statement most are the ones who have them. Especially on entry to school, because funding is easy to access for nursery/preschool phase (all we needed for 1:1 was a letter from the area co-ordinator saying that DD1 needed full 1:1) and preschools/nurserys are notoriously under-trained regarding SEN. Unless a disability is entirely physically, or the child is disruptive, it's unlikely they'll get a Statement initiated by the preschool.
Unless parents are clued up, they won't know that they can apply themselves. Parents are fobbed off for years. 'too much progress' 'not severe enough' 'not 1st centile for x, y, z' 'coping well', etc.
I sincerely doubt things are as you say, OP.