I believe it is because on BF4 and BF3 Battlelog, your PS3 soldier is set as active. There is nothing you can do on the BF3 Battlelog, since there is no PS4 version for it. It is also working on Hardline because the only soldier you have is PS4, so it is set to active. Try setting your PS4 soldier "as active" on the BF4 Battlelog.
1. While in the BF4 Battlelog, hover over your name in the top-left
2. Click "Change Soldier"
3. Find your PS4 soldier in the list and click the bar under the column labeled "Active" so it turns green
4. Click "Save"
See if your Playstation 4 list shows up now.
