The meat would probably be really tough. I'd think the only acceptable preparation would be braising or confit. They probably have a lot more parasites (worms) than you'd be used to as well.
Its Wikipedia page: https://en.wikipedia.org/wiki/Paraponera_clavata
Races of chicken that were breed to fight are very slim and all muscle. Not much different than pigeons. Probably a hard meat. Old roosters of most other races are perfectly edible.
Of course locals could have more than one motive to not want foreigners eating the birds. Specially when there is an old and widespread tradition of let the chicken free-range around villages