That's the annoying part. I'm not privy to the internal workings, but I just need the app to fire up and stick something on the clipboard. After that, let the OS kill you off because I'll fire you back up again ad hoc.
The notification says it's synchronizing with my chosen cloud provider, maybe it doesn't want to get inadvertently killed during that process. Okay, fair enough. But can't the notification be removed after it's done? (An honest, if rhetorical question; don't know enough about Android to say for sure.) I have enough special snowflake apps sticking their crap in the notification bar, one less would be nice.
You are not alone in requesting less clutter in the notification drawer. This is a popular request that we have received from a number of our customers.
We pride ourselves in considering all feedback from our customers and I'm happy to say that we've made improvements in this area. In our upcoming 4.1 update, successful sync notifications will be automatically cleared from the notification drawer.