It's not quite what I meant. The AI nearly always behaves the same, regardless of the type of ship (maybe Vultures are a bit different), they try to hold a position directly in front of you for a while, then they fly over your cockpit where you can't shoot them. I mean this is their general strategy, not that it's guaranteed that's what they do.
All you need to do is fly slowly backwards when you're face to face with them, then when they start to move forward, you increase your throttle backwards to about 75% and pitch up to follow them. It works really well if you hold FA off while they go over your head, which will keep them in your firing arc the whole time. Timing is important. After a bit of practice, you'll see how it works.
If you were flying around forward with the throttle in the blue zone, most of the small ships would fly over your head and get you from behind. You'd rarely get a chance to shoot at them. This is the bit that doesn't make sense to me. I have 2500 hours of doing nothing but shooting ships in RESs, so I know what happens there. What you've described is more like their behaviour in a Low or ordinary RES, but in a Haz RES, they behave as I described.
I am possibly picking weird targets. Given an option, I'll go after the Python's first since they are the easiest 'common' ship to track. The 4 engine alliance ships are a close second in that regard. The Anaconda is the easiest to keep in sights and does not fair well vs fixed cannons.
I do not go into Rez sites often of any type. I have though and It's usually to round out system bounties before landing to turn them in or to locate pirates in general.
What I usually do is fly to the Level-4ish (+/- 1) Blue signal sources and pick apart the dozen or so ships within them. I think 'Competent' is the lowest I see in those with 'Dangerous' being more the norm with some Deadly and Experts sprinkled in here and there.
I'm actually not sure how to record a play session otherwise I would do so. I think the Raedeon software has the function. I'll look into it. But this is usually what happens:
Enter site, deploy SLF, deploy guns. Check target list. Pick the biggest ship first or the poor poor Cobra. Or Both.
Sometimes target the power plant. I'm uncertain if this is making much difference so I don't always do it.
Line up the cannons with the lead indicator, invert the ship so my belly is pointed at their direction of travel. The two beam lasers are in the L3 and L4 mount on the bottom.
Open fire with the cannons and lasers and direct SLF to attack either my target or the poor Cobra.
Follow the targets direction of travel by keeping the bottom of the ship facing it so the gimbled heavy lasers can maintain contact.
Roll and alter throttle as needed to maintain this orientation, pushing the nose down onto the target as much as is practical to maintain said lasers.
Line up cannon shots as able.
Repeat till target explodes, then move to next target and start again.