Yup, looks like you have that right.
The same thing applies to anything else that you place on the properties panel - e.g. integers, floats, boolean, index selectors etc.
Very rarely, I have found that the 'independence' is lost if sync'ed modules are nested. e.g. inside a synchronised module there are 'sub-modules' which are themselves synchronised to others outside of the 'parent'. I think SM just gets a bit confused about which layer of synchronisation takes precedence, and properties sometimes get copied when they shouldn't.
There is also an undocumented keyboard shortcut... Ctrl+Shift+Alt+'S'. this brings up a dialogue where you can remove all synchronisation for the entire schematic. As there is no 'find' option to locate synchronised modules, it can sometimes be handy if your sync'ing has got into a bit of a mess (like mine often does!).
Feel free to use any schematics and algorithms I post on the forum in your own designs - a credit is appreciated (but not a requirement).
Don't stagnate, mutate to create. Without randomness and serendipity the earth would be just another barren rock.