My mistake, I was referencing the wrong part of the documentation.
In the new Twitch API:
`curl -H "Authorization: Bearer <access token>" https://api.twitch.tv/helix/`
In Twitch API v5:
`curl -H "Authorization: OAuth <access token>" https://api.twitch.tv/kraken/`
Though changing from Bearer to OAuth doesn’t seem to change the results any.