We may certainly say that a "permissioned" blockchain cannot have a native coin (or cryptocurreny) since in permissioned blockchain we need a permission to be eligible to participate for transactions validation and so having a native coin in a permissioned blockchain is not meaningful.
However, on the other hand, can we say that having a native coin/cryptocurrency for a "permissionless" blockchain is crucial? Or is there any permissionless blockchain without native coin? In that case, how to ensure security and how to motivate miners/validators for participation in transactions validation?