Damien, who wrote the reply, suffered burns to 40 per cent of his body when the tank he was driving crashed, rolled and caught fire during training at Waiouru army camp in 1994.
Five years earlier, his brother was paralysed in a training accident in Singapore when he was dropped head-first by soldiers carrying him up a slope on a stretcher.
Damien addressed concerns raised by Mr Coleman about the risk of setting a precedent in granting the brothers compensation.
"There was no risk in the regard of setting precedent.
"What compensation would he expect if he were to lose the use of his legs, arms and hands, to be paralysed from the chest down, to spend 18 months in hospital and to then have to pay for his own wheelchair and mobility van at a cost of $20,000 out of his ACC compensation payment of $27,000," he said.
Mr Coleman previously said he had "huge sympathy" for the brothers, and noted they had received ACC payments and Defence Force benefits.