yes. aneutreonic, a reaction with "less" neutrons would be cleaner. either you have less/no neutrons, or you absorb the neutrons you have. they make the structure radioactive and/or change it chemically (embrittlement) or, you absorb them into other things to make them radioactive, and useful.
Neutrons would still be absorbed and produce heat.
Is it because those neutrons damage the reactor structure?