How do you enter a hammock?

For this morning’s debate with my children on the way to school, we discussed what was the appropriate verb for entering a hammock; in vs on.

Ultimately, the conclusion was that it depended on the style of hammock. The taut flat ones, you get on those. The more cocoon type ones, you get in those.

I was curious if we could get a ruling on whether we’re right or not.