Note my disclaimer about physics Spoon ;p
It wont help in TBP but if a ship being thin on an edge really does bother you, and you know you wont need a maxim or what have you, take your primary anti-fighter weapon of choice (proms/kay) and a morning star and you'll find it bothers you a lot less from then on (note; morning stars aren't meant to be spammed, only a few, extremely rare pilots can hold down ctrl/primary fire, with a morning star and keep their target pinned, I know I can't, but the keyboard is the hardest medium to do it on).
Additionally this is another reason why tempests beat aspect seekers, on ships like these you can use it as a third primary either when you get glancing chances on non-profile shots or when you get close enough to hit them sideways on.
In any case the AI behaviour is simple to manipulate, anyone who's played multi with me will see me spamming orders with our AI all the time, a few people have tried to mimic this more recently but I'm not sure they quite got the jist of it yet (well, apart from E).
For anyone who hasn't;
The AI, once they do their 'run away from you so you can only shoot at them from behind and at long range', if you stop shooting them, and just track them, and have your ai ignore them/focus another nearby target, the fighter you're still tracking will turn round, rather abruptly. When they do, not only will they be going slower, and not having locked on to you yet, not putting pressure on you, they will be turning in a way that presents most of their ship to you, with decent weaponry you can clear them in one pass.
Typically when flying against AI with no humans around to pester me, I tend to ignore fighters shooting me (unless they're all that's left), even on insane, and focus on fighters that are shooting my AI, they're easier targets and it clears up waves significantly faster.
If you fly intelligently you never have to deal with the 'profile' of Vasudan, or even some Shivan ships, because YOU control the AI (even the hostile AI), not visa versa.