First, during most of the dynasty era, there was only one Jumbotron in Gillette. And it was relatively tiny at least by NFL standards. The second Jumbotron was installed in 2010. So for the entire first part of the Dynasty, only one end zone had a jumbotron and the other end had a Jumbotron that was smaller and not really in the line of site of the kicker.
Second, since the beginning of football, fans in the end zones have made noise and waved towels and other objects to distract opposing kickers which is perfectly legal. One team even gives out towels at games that are the same exact color as the goal posts (cough! cough! The Steelers) which could be more distracting than the Jumbotron.
Third, I am not aware of any rule that states that this practice is illegal. I am sure other teams did it. And why wouldn't they? If they knew the Pats were doing it and getting away with it, other teams would too.
Fourth, unless you show more than a handful of screen shot showing that the Patriots did this practice consistently and they consistently didn't do it when the Patriots were making field goals, then it may be misleading info.
Fifth, the whole disparity between field goal percentages between the Patriots and their opponents is misleading. Percentages don't mean anything out of context. Did teams that played the Patriots kick significantly more field goals than the Pats? Were opposing teams kicking longer field goals than the Patriots were? My guess is during the dyansty years, teams that played the Patriots had to settle for more field goals and take longer distance field goal attempts to keep up with Brady and the offense.