I think most players(not Robert

) would accept a layer to the BGS that involved obligatory multiplayer interaction. That would not work well as the game is now though.
Unless players are members of a faction, their actions can not be directly countered by other players or the game it self. If the BGS is to be given any meaning, it has to generate reactions from the game. For example when Facece was turned into an independent system, there was not response from the Imperial navy. It shows that the game does not care. The BGS is just a funny way of displaying player statistics.
FD are currently thinking about linking squadrons to player minor factions. This is probably the only layer that will give functionality for PvP, with regards to the BGS. Unless you are member of a squadron linked to a player faction, you are neutral.
Even though squadrons might give a link between players and the BGS, there are clear indications that it will not be open only.
I think part of the reason for this is that the game is not balanced around risk/reward on any level. Regardless of mode, only traders can be exposed to risk.
Combat ships(both PvP and PvE) are balanced to have the possibility of no risk in any situation. In combat, risk is opposite of reward.
Combat focused players have time and time again demanded the option to be fully protected(even from hull damage). Unless this trend is reversed, there will never be acceptance for additional risk for traders.