As a Cadence admin, you have complete control over whether your team's cadences and templates are public or private on creation :]
Simply navigate to Team from your user name dropdown and click on Visibility Settings.
From here, you can choose whether all created email templates and cadences are made public or private as a default. Your team members can choose, however, to make any created cadences or templates private after they are created.
You can also set Group Permissions within teams and if they can see public cadences and email templates across the team or just in their group :] This will limit public cadences and email templates to only a team member's particular team.