On time/ In time

I was watching a movie and...

RAFAEL: We didn't want to leave MG behind, but it was getting late. And we knew that I had to get back before I turned, and...

Hope: [SHUDDERING EXHALE] What?

Rafael: We didn't make it back on time, Hope.

Read more at: https://transcripts.foreverdreaming.org/viewtopic.php?f=860&t=33063

Isn't it better to say "in time", and not "on time"? This is because "on time" kind of refers to that the person did not make it home on the destined time, and "in time" refers to that the people did not make it back (to the house) in time before he turned? (This explanation is not that good, so if someone has a better one that would be great)