You also need to update Hash table so recurring job parameters are correctly resolved. Something like:
SET Value = LEFT(Value, CHARINDEX('-', Value, 6) - 1)
WHERE Key = 'recurring-jobs'
AND Value LIKE 'Lab-%-%'
SET Key = LEFT(Key, CHARINDEX('-', Key, 20) - 1)
WHERE Key LIKE 'recurring-job:Lab-%-%'
But it would still be easier just to drop and re-create them. After all, applications usually add-or-update their recurring jobs at startup, so it would be just a matter of restarting the app.