Bergkamp had been struggling in Italy I think and pre-dated Wenger. Henry was a failure at Juve. Vieria was underage talent as was Pires. I thought the OP point was about established global stars. None of these were at the time Arsenal signed them.
United didn't compete for 'established global stars' because we didn't need to. We were top dogs in England so we competed for the best players, in line with our strategy, to dominate England and in turn Europe. It was a genunine plan and recruitment strategy. It worked. Times have changed. Now the guys in charge are throwing money at our problems in a pretty random ramshakle way. How people can say these owners are good for the club is beyond me. Just because they've been brilliant at revenue generation and splashed the cash on Pogba doesn't make them worthwhile to me. Interestingly Fred is now in our top ten transfers. Amazing when you think about it and evidence again of just how things have changed.
I was talking about the type of talent that you listed and Henry wasn't really a failure, he spent six months out of position, it's one of the weirdest thing that I have seen in football. Juventus failed more than he did.