Honestly this is a decision I'm glad I don't have to make, because I simply don't have the full insight required to do it. But let's throw out my line of thinking anyway.
Firstly, morals/ethics. I have an instant distrust of any billionaire so I don't believe the Ineos bid is suddenly/magically going to mean that we're in a clean situation when compared with Qatar. It wouldn't shock me if Ineos have a lot of business with Qatar or other states with questionable morals. Does this make them okay because it's a third party situation? I just assume anyone who takes us over is going to have done, endorsed or enabled a lot of terrible practices. The key difference is that with Qatar it's more in the spotlight because of the World Cup. It's sort of like how people complain that footballers earn way too much when in reality they earn a pittance compared to what you can get in the business world. The spotlight is on the footballer, so they get targeted by the public far more than those who grow up in a corporate environment. I reckon it's probably similar for Ineos. For me, based on endless precedent, I assume billionaires are guilty until proven innocent. Probably not fair, but if you want to argue that we should assume innocent until proven guilty, we should question why we slam on this particular, specific Qatar investment fund when they have yet to be convicted of any crime that I'm aware of. So as I say, you can assume guilty or assume innocent, but for me that still paints both options with the same brush.
With morals out of the way, the second thing I'd want is for fans to own the majority of the club. I don't expect this to happen regardless of who wins the bidding process. Short of government or FIFA/UEFA/FA enforced regulations, I don't think this will ever happen again, sadly.
With morals and fan ownership out of the way, we're left with who we feel will run the club better on football and financial fronts. For the football front, I think it's genuinely not possible for us folk to have any clue who will be smarter about how they work the football side of the club. I'm not sure anyone at all has any firm clue regarding this, to be honest. For the financial side, I think the Qatari group is better placed, it's safe to say. The financial side will impact the football side, too, so that does have a slight edge there but again it's just not enough to say they'll be better with any real certainty.
The financial edge is literally the only way I can separate the options so with that in mind, for now I vote for the Qatari group.
Regardless of who wins, I hope that it adds notable pressure on both of them to perform ethically and morally in all they do, because of course I do. I just don't have faith that either would be an ethical company because in my opinion you don't earn billions by being an ethical, moral company.