To protect and to take hostage

Does the act of ‘protecting’ something sit on the same spectrum as ‘holding something hostage’?

For instance ‘to protect a child’ in the traditional sense, is to keep the child away from dangers. In a sense the protector holds the child unto their self; sort of like to keep the child hostage.

However to hold something hostage, in the traditional sense, is to hold something in return for a reward.

Yet isn’t the act of protecting a child the same as keeping the child for the reward I shall describe as ‘continued attachment’ or for emotional pleasure.

In a sense to protect something, is to take it hostage because one protects for a reward.

Thus all instances where protection takes place are a form of hostage taking, it seems. Thus it seems, one is bound to see elements common to a hostage scenario in any instance where a protector and a protected exist as in nation states and their citizens for instance.