Trip didn't sync to my iPad — or did I misunderstand what syncs?

Built a trip on my phone, opened the iPad expecting to see it, and it wasn’t there. Then I found the calendar link thing and I’m not sure if I’ve confused two different features.

Is the trip supposed to appear on both devices if I’m signed in as the same person? Or is sharing only for sending it to someone else?

Happy to be told I’m holding it wrong.