There's no way that I know of, I don't use the sync function either and have it set to pause, can't say that the pause symbol on the icon has ever bothered me, infact I only noticed it since you mentioned it and it still doesn't bother me 😉
I think it's been like that since the last update to the Creative Cloud app, in the old app as far as I remember you could actually disable the sync, why they decided to change it is beyond me, you can post a feature request on the Adobe Feedback Forum
I have now found out the reason for the pause symbol.
After booting the computer, there is no pause symbol attached to the CC menu item. But once I open CC (with file syncing "paused", meaning off), the pause symbol pops up, and will stay on top of the CC menu item until next reboot. Extremely silly behaviour.