I don't know anything about the scales and such. What I can tell you as a milk tester, the newer systems that have recorders... say an ear tag, leg band , rfid chop or something... will record on the device it is closest to. Many of the dairy farmers I work with also have stuff on their phones and/or a pocket type scanner... and most simply have to do a "synch" with the "main unit"..... it only takes a few minutes/seconds... and then everything is the same on all the devices. Many synch daily or once a week.... all according to whether they are just using the hand held most times...
So, you need to talk to the rep of whatever system you are looking at. There may be some that can "synch" through a wi-fi and so will do it automatically. Tell them what you want... and what you expect.