Not exactly sure what point you're trying to make. Other than you view system and scheme as one in the same. They are not. Within a system any number of schemes can be in operation. Belichick's system is fundamantal at it's core, not ever to be confused with static. Just like on defense. Belichick is the polar opposite of the HC who says we do what we do and it's up to you to beat it or stop it. Belichick says we analyze what you do and we're focus on doing some things you won't expect or will struggle by nature to handle. Most teams struggle to change their scheme up season to season. Here players have to have the capacity to change it up week to week. But it's the scheme within the system they are changing, not the system. The system is the core fundamentals like protecting the football, making good decisions, executing with discipline.
Bledsoe couldn't execute within Belichick's system at it's most fundamantal level. What would lead you to believe he could therefore execute within it at it's most developed point schematically elludes me. You see more weapons that were better suited to his skillset. What you fail to see is those weapons are still required to execute fundamentally according to scheme. Moss may be a decoy one week and not available as Drew's go to guy... Drew would struggle with that conceptually if Moss became his binky, which is why he got benched in Dallas. He was told to execute a specific play to TO, but he THOUGHT he saw an opening to hit Glen on the opposite side of the field. Even if it had worked, Tuna would have been pissed. When it didn't, he had had it.
Before they knew what they had in Brady, Belichick had Scott Pioli and Ernie Adams rewrite the manual for what skillset a QB for the NEP had to encompass. It focused on the capacity to make good and quick decisions under pressure while protecting the football. In his last start as a NEP Drew had one of his worst performances although the stat line didn't necessarily reflect that. What the coaches saw was his poor judgement on display in a game they assumed would be closely contested against a division opponent After Bill and Charlie decided to go for a TD on 4th and 1 from the goal line, he committed a delay of game penalty. In the first half within a four minute stretch he had an intentional grounding penalty and threw an INT in JETS territory. Points and field position matter to BB. A QB who repeatedly costs you both is not a fit for his system. Particularly when his errors are often mental as opposed to physical and he makes the same errors over and over. Everybody will miss a throw or make a mistake, what BB cannot tolerate is the guy who makes the same mistake routinely and cannot seem to correct it. Because it is part of who they are and it is entrenched. Belichick and Ernie also had a book on defending Beldsoe based on years of observation when they were with the JETS. They knew his achilles heal was inaccuracy born of impatience and confusion.
You look at the gunslinger as a guy capable of winning you a game you had no business winning. Belichick sees that guy as one who will also cost you a game you had no business losing. He admires their talent. He just chooses not to deal with it's downside. He prefers to work with guys who are coachable, versatile and willing to adapt, who will execute his specific game plan (tailored to beat a specific opponent) with discipline, because he believes if they do that they will win more predictably and consistently. He's not comfortable with freelancers. That said, sometimes a player is given greater latitude to make a play. But that is earned based on his track record for making good instinctive decisions. Guys with a 50/50 track record (or less...) - he'd prefer they just adhere to his plan because the systems track record is a lot better than that...
