I was also first introduced to the concept of carb synchronizing on an old VW. I had a '74 1800cc dual carb bus, and I still have the Uni-syn I used to synch the carbs. It's basically the same concept on a sohc4, but much more sensitive to slight differences between carbs and you absolutely need four gauges so you can see the reading on all carbs at the same time.
All other tune-up items will affect the cylinder vacuum, so everything else needs to be done before performing the synch. Maybe the PO did a good tune-up, maybe he didn't. It's up to you whether or not you want to spend your time doing a carb synch based on an assumption that may be incorrect. It doesn't take that much time to at least check the settings.
I've never done a carb synch on a 650 before, so I can't help you with specifics on your bike.
For step-by-step procedures and technical specifications you can find free manuals for download at the top of the sohc4 tech forum page.