I think you might be wrong on the antimatter point
One can generate anti-matter using metric ton fuel, today we need those
Hadron Colliders (I am not english, so sorry if got the name for it wrong) to create anti-matter (or other exotic particles), a thousand years later we might need way smaller equipement to do the same on a larger scale.
This meaning that these exotic particles do not need to be non-consumable since you can generate it using normal, scoopable fuel, and it might account for the maximum range of jump drives, dependant on the amount of exotic particles your jump drive is capable of storing.
Well, as far as I know, we actually don't generate anywhere close to metric-tons of antimatter, currently. We certainly do generate antimatter today, and use it even beyond physics labs--anti-electrons are used in P.E.T. scanners, for example, which hospitals use to see electrical activity in the brain in near-real-time. But it's not only super hard to capture and store, it's super hard to make in the first place. Every particle accellerator in the world, working together, couldn't generate a fraction of a metric ton. The last numbers I heard, through various talks by Dr. Michio Kaku, is that a few *kilograms* of, what I assume to be antiprotons, would bankrupt the world economy. Those numbers might be wrong, but they're the best I have access to right now. Regardless, even if we assume that the process can be miniaturized and made much more reliable, it still doesn't make any sense for a starship to generate antimatter within itself, and then use it as a fuel source, for two reasons. First is that every method of generating antimatter that is even in the hypothetical stage, at this time, requires massive amounts of energy to accomplish. And since you're USING that antimatter to *produce* energy, you'll never get enough energy OUT of the antimatter to make up for the energy it took you to MAKE it in the first place. So says the first law of thermodynamics. At best, antimatter is a tremendous energy *storage* medium, just as gasoline is an excellent storage medium, but if you're generating it onboard your ship, all you're really doing is *wasting* energy, not producing it, no matter how efficient your system is.
Much like your car--I used to work in auto parts, and I could never get my conspiracy-theorist customers to understand the physics-flaw with their home-made "hydrogen-injection system;" the idea was that, with a liter of water or so, and electrodes hooked up to the alternator, you could split the water into hydrogen and oxygen and let it get picked up by the air intake, where it would burn along with the standard fuel/air inside the engine and give you an extra little kick, 'free power,' increasing fuel mileage and such. What they never understood was that it the electricity required to make the split comes from the car's alternator, which, in order to generate that electricity, puts a strain on the engine, and the *tiny* amount of hydrogen produced couldn't offset the amount of strain the alternator put on the engine in the first place. And all that assumed they even got the thing to work, which I know for fact most didn't, even to the point of seeing any change in mileage one way or another.
And then there's problem 2: by itself, antimatter is useless, just as hydrogen is pretty useless without, say, oxygen. Antimatter can only give you usable energy if it interacts with matter, so for every antiproton you have, you STILL need a proton to combine it with in a 1:1 ratio. Protons are easy--stars cast off protons and helium nuclei by the metric ton *per second* throughout their entire lives. Hence the fuel scoop. What they *don't* produce is a lot of antimatter--proton-on-proton fusion leaves one proton intact, the other proton being converted into a neutron, an anti-electron, and a single photon that streaks off as a gamma ray, if memory serves. But as soon as that positron (anti-electron) hits an electron, floating around in the soup that is the star's core, they both boom as energy and two gamma rays, well before it ever makes it to the surface of the star. I don't know how rare antiprotons are in nature, but it would still have the same problem.
Now, if we want to make a case for using matter/antimatter reactions to generate lots of energy very quickly, as in opening a witchspace wormhole, then sure, I can get on board with that. It makes sense, actually--when you "charge" your drive, you're actively converting hydrogen into antiprotons, which you mix with protons all at once to get a massive burst of energy that you couldn't possibly *store,* and would probably blow you up if you didn't channel it directly into opening a witchspace wormhole. That...doesn't explain why the drive charges more slowly when another ship is near, of course, or a number of other issues due to artistic license, but what I DO know is that I just got done flying forty or fifty lightyears and the only energy I took in was from star skimming. No matter how you slice it, your main fuel consumable fuel must be hydrogen, because that's the most abundant material you'll find in a star's corona, where your fuel scooping is conducted.