I can think the community is more important than the individual, but still leave to protect my children from starvation. Reducing human behavior to any single statement like you have done leaves many factors out, which is why solving these social issues is so insanely difficult.
You can think that, but your actions demonstrate otherwise. In that scenario, you valued your children's health over remaining within your community. What is special about those specific children? They are yours towards whom you feel a duty you must fulfill as their parent. And yet, there are others who would choose to stay. I'm not passing judgement on either.
Ostensibly, they're part of the community. I'd argue it's not impossible, but even necessary, for the needs of a community to align with the needs of an individual. Reducing it to a "You benefit the community xor yourself" binary is engaging with black and white thinking.