Hi - Speaking from a uSync.Complete point of view (because i wrote it 😉 ), it will do what you need it to do and it is compatiable with v13.
its lets editors push / pull, content and media directly from the content menus / publish buttons, and you can control what bits get pushed, and how all your servers are connected.
it comes with a 60 day trial, so you can install it locally, on dev, stage or wherever you need to test it and get it setup and publishing things.
And if you have any questions about how it works, or how you might setup it up for your perticular setup, i am happy to discuss, jump on a call, or what ever .
kevin