No. In a perfect world yes, you would update immediately. However, it isn't practical. Define what's a good time frame (week, month, daily) for your server, its role, and your manpower and stick to that schedule.
I can definitely say that it is better to wait to update when you can reboot than to update immediately. Of course, if there is a really bad vulnerability, update immediately. Let the user know it's an exception.
I can definitely say that it is better to wait to update when you can reboot than to update immediately. Of course, if there is a really bad vulnerability, update immediately. Let the user know it's an exception.