What problems are you babbling about, is it fairness? That a solo player can fight the BGS from there against Open players? Is it less fair than a 300 players squad is fighting a war against a single commander? There is no such thing like fairness in ED, full stop. Do we agree at least in this? And if so, what are your issues then? Tell me, what is so frustrating for you.
Online games after decades of experience have all come to the conclusion to remove the outfitting distinction between pvp and pve. Once that's done, create pvp centric incentives based on current game systems. You don't have to throw the baby out as well.. while there might not even be a problem with a global multiplier of reward to play in open (say 4 engineering mats per collect instead of 3, etc), only the strongest bigot would object to having a dozen or so pvp hotspots around the bubble.. the rewards from playing the sandbox pillars in open would be like finding a mining motherload.
I have no need for pvp at all, but creating pvp specific incentive systems would be a nice optional thing to do.. and yet if i were to still demand that other players cant have a few hot systems for pvp i would look like a complete idiot and expect the greater community to argue against that. Exactly how the naysayers for the fss refactoring currently look.
I haven't looked at the powerplay side of the bgs at all.. but its a pvp system so logic is greater than equality in this case.. its a pvp system, make it open only. But then there's the technical side of it which would be impossible. So i guess it stays as it is. Yeah i haven't considered this issue to depth like the fss because i havent been interested yet so can't provide a nuanced solution to bgs vs open sorry.
Honestly what killed the bgs for me was the stupid mission board homogenization. As a joke i wanted to see if i could kick a mildly famous player faction out of controlling a particular system because they are never there. Was prepared to do the long haul, thinking it through, avoiding inefficient states, the whole thing. Then i went to the mission board and it was just stupid... not going to do those missions. So then i put it aside and went on.
EDIT: By outfitting distinction yes i would suggest a very specific balance pass that went and removed the multipurpose cost of also fitting for pvp. Or even better, distill the military slot concept into making combat modules only fit in those and go from there. Its a bit of a straight jacket, but its also pvp.