While this is great advice about the long path to expertise, I would second the experience of OP that AI similar dogfighting in this aircraft is particularly difficult. Having begun to learn dogfighting in several modules from the 109 to the Hornet over the last few months, I found the A4 and F5 to be the most difficult for exactly the reasons you describe. In the A4 it is climbing turns and in the F5 usually descending turns, but if you get into the wrong kind of fight the AI is capable of strangling you even on easy mode in these early jet aircraft, very unlike similar fights in the 109 or in 4th gen.
One tip is that they are still susceptible to manoeuvre kills. If the circle goes to the deck and you can turn it a bit vertical, often the AI will crash.