There's several reasons deletion of production data, especially by a malevolent sysadmin, will have a significant impact on a company - with or without backups:
Many companies don't do backups, or don't do them right. Without good backups, you may not ever be able to recover data that's been nuked by a sysadmin.
Companies that do have backups don't always test them. Without regularly testing restoration of your backups, you can never be sure that they'll actually work when needed. In the middle of an incident response or disaster recovery is the worst time to find out your backups or your restoration process are no good.
The sysadmin may delete the local backups as well. If the company doesn't also keep off-site backups (and many don't) they could be entirely out of luck in this case.
Backups are a snapshot of the past. Any data between the time the last backup was made and the time of a total data loss incident is probably lost forever. If the company has to resort to using an off-site backup, this impact is likely even greater because off-site backups are usually older.
Backups take time to obtain and restore. In most cases, this means the production environment that relies on the data from that backup is unavailable until the backup is restored. If restoring from an off-site backup is necessary, that requires even more time.
Loss of data means loss of credibility and confidence. Any significant security breach such as this, especially if made public, will have an impact on the company's image. Even if you're able to fully restore data up to the very last minute before the incident, your company will never quite be looked at the same again.
To sum up: Even if you do have good backups that can be restored, there's still a significant short-term impact while that process is in work. In the long-term, you'll still suffer the impact of a hit to your company's reputation and will also see some impact due to data that couldn't be recovered.