I'm not sure if this is specific to the Time Spiral spell or a general issue with spells that exile themselves on resolution, but once cast it goes into permanent exile.
Repro
- Time Spiral as signature spell.
- Cast Time Spiral and let the spell resolve.
Expected Result
Spell is returned to command zone... to allow it to be cast with appropriate commander tax.
Actual Result
Spell stays in permanent exile.
Here's a screenshot of the issue:

Notes
@LevelX2 previously worked on a fix for the oathbreaker format referencing spells not returning to the command zone in a recent ticket (#6695).
I'm not sure if this is specific to the Time Spiral spell or a general issue with spells that exile themselves on resolution, but once cast it goes into permanent exile.
Repro
Expected Result
Spell is returned to command zone... to allow it to be cast with appropriate commander tax.
Actual Result
Spell stays in permanent exile.
Here's a screenshot of the issue:
Notes
@LevelX2 previously worked on a fix for the oathbreaker format referencing spells not returning to the command zone in a recent ticket (#6695).