When I was small Father Christmas only ever brought stocking presents. No pretence that anything else was from anyone other than who it was from so no other presents were hidden and went under the tree as soon as they were wrapped.
DH's family were the same and our tree us up now with a good few presents underneath.
It's only in the age of social media I've realised that for some families FC brings everything and even if the actual present giver is credited FC still delivers them so they don't appear until Christmas morning.
Are we really unusual in having presents already there? I'm just curious!