In all fairness you have a point:
but...
I'm going to put aside the technical discussions and give you my basic opinion....for what it's worth.
Yes it's true ever since ww2, there have been very few US military jet planes that have been shot down by enemy anti-aircraft weapon systems.
Why is this the case, Do aircraft have some natural built in superiority to missiles in endurance or evasion? I believe the answer is NO.
There is nothing within the laws of physics or engineering that favors aircraft over missiles. In fact the opposite is probably true.
The reason for the US military's success is simply because the USA became wildly economically successful so therefore the US military got to enjoy the biggest budget and the most capable weapons that money can buy. Obviously if you get to outspend your nearest rival by a ratio of at least 4 to 1 you'll have more capable weapons. It's that simple.
If a jet plane or jet planes get into a confrontation with an anti-aircraft weapon system perhaps a SAM system, who wins?
Assuming 2 nations with comparable military budgets go to war.....I'll put my money on the anti-aircraft weapon system.
It is difficult to explain the intricacies of the situation you've supposed.
In general, an agile fighter aircraft with enough fuel and the correct sensor capabilities can defeat SAMs with relative ease.
Ignore jamming, spoofing, and assorted tactics, a contest between an agile fighter with fuel and functioning decent RWR against a long range SAM system designed specifically to counter agile fighters (ie not really a missile like 40N6 which is supposed to ideally target large and slow aircraft), the fighter will have pretty much constant awareness of when the SAM is in the air, how fast it's coming, where it's coming from. The pilot with advice processed from onboard avionics would be able to comfortably defeat the SAM.
The only real strategic purpose of the SAM is to make air combat planning much more difficult and resource consuming for the side conducting air operations. It is an anti access area denial tool that will be constantly attacked. You can now see how the engagement between a fighter and a SAM site is really a question of networked force structures. A competent airforce can slowly chew away at SAM sites without even the need for stealth, modern cruise missiles and stand off weapons. It is a given and most of the competent and knowledgeable military watchers sort of accept this as a general rule of thumb. Attacking side has initiative and advantage to speak nothing of technologies compounding these advantages.
The historic conversation is a bit worthless. I won't bother explaining why I think most can figure those reasons out.
On the physics of this question -
"Do aircraft have some natural built in superiority to missiles in endurance or evasion?"
agile fighters absolutely do. No doubt. By a significant margin. Answer is in the energy stored by the fighter vs the energy stored by the missile. The fighter has many, many times more total nominal energy and much better range. The only threat to the fighter is the distance at which the missile's presence is known and the distance at which the oncoming missile is launched. Indeed there are ranges at which no fighter can reliably escape an incoming SAM or A2A. And here is where the truly interesting (and un/fortunately confidential details come in to play... we obviously don't know enough to comment).
The question is really not one of mechanics but one of electronics. There's good reason for fighters to try and increase their payload capacity without sacrificing much performance and range. Increase their radar and sensor capabilities and spoofing - ECM, ECCM, decoys. There is a good reason why missile energy (a tautology for effective range) are kept secret around the world. China, USA, Russia are the only known countries to possess (ability to manufacture themselves and know the secrecies) of the latest energetic compound broadly named CL20. This was actually first theorised and synthesised by Chinese in China as much as wikipedia has been edited to ignore this. The rest is electronic miniaturisation, material technologies, aerodynamics etc which all these main players are roughly equal. What is not necessarily known with any confidence is the degree of electronic and software capability. However, if we take the academic and industrial abilities of US and China in regards to electronics, computing, and software, well their capabilities are generally head and shoulders above other players... most of whom have close to zero complete comprehensive self reliance and industrial or even academic awareness of. The skillset is stored in the archives of the highest echelons of respective militaries and the national academy of sciences in China's case and national labs and gov departments in US. Often in the minds of a handful of experts only.
Can missiles defeat fighters is a complex question. It depends where and under what circumstances, which missiles against which fighters and all the surrounding parameters of the engagement. Even the best airforces don't have perfect models to determine a definitive answer to such a broad question. A broad answer is that fighters generally have the advantage under usual circumstances between peer rivals.