Free fruit for all pupils in P1 and P2 has the broad support of staff and pupils and is highly nutritious but the Scottish Executive promotion is said to be yet another initiative "eating into teacher time".
The mainly rural authority also points to difficulties with P2-P3 composite classes where only some of the children are entitled to the free fruit.
Results show that of 10,000 portions of fruit or fruit juice offered to pupils since last October, almost 2,000 (19 per cent) had at least 50 per cent of the portion discarded by the child.
A further 7 per cent of portions were refused because children did not want to try something new. Fruit juice proved the favourite and tomatoes and cucumbers the least popular.
Staff are also concerned about the environmental impact of plastic containers and utensils which have to be thrown away.