Pulsar always respects the record and field permissions when the user is offline but permissions on the server side could have changed since the user last ran a sync. In this example, the user was able to edit a record while they were offline since Pulsar had the permission set information from the last sync but meanwhile, the server-side permissions had changed.
The user has now two options:
To email the log to the admin and request the admin grant permission, after which they can successfully sync their changes.
or
To abandon the update they made while they were offline.
The sync algorithm prompts the user which action to take.