A long lost host (a machine that’s been offline or in a closed off network etc.) can find its master (puppetserver) when it sees the daylight again with the regularily polling puppet agent service. This is not as straightforward with ansible’s push model.
Great job! Now it’s a good time to learn a bit of Ansible so you can keep your fleet up-to-date and configured. It would also come in handy in case you get a permit to do more conversions in the future.