With the food timers, as far as I can tell only the top unit expires, so you can jam 100 baked berries in your feed bag and not have to worry about managing hunger for a few hours
The problem with cross console on private servers tends to come from the rules set forth by the company. Microsoft has a lot of restrictions on how cross platform multi-player can be implemented, and since the servers are being hosted by the players and not the company they most likely aren't able to meet the requirements.
With the food timers, as far as I can tell only the top unit expires, so you can jam 100 baked berries in your feed bag and not have to worry about managing hunger for a few hours