Yes, but I'm thinking relatively. An ASF can easily burn several tons of fuel in a space battle even sticking close to its mothership in a fleet defence role and that is one of the limiting factors. An ASF can drift for days...life support allowing...but it's going to burn the fuel in battle no matter where the battle takes place.
As for long range strike...given the context, I would suggest a similar mission profile to modern carrier operations. As in several times "gun range" where the carrier itself remains safe and out of range, and even detection.
But if you are expecting a battle at one end of a transit, you need fuel to get there, you need fuel for the battle and you need fuel to get back and you need a reserve. The standard five tons of fuel doesn't last long.
Such strikes are impractical against most military targets where a long range approach is likely to be spotted and unnecessary against civilian targets. A suicide strike wouldn't need refuelling tankers and most ASFs don't have the life support to allow a week long drift.
And external fuel tanks would be more useful and cheaper.
You never explained how much "relatively" you're talking about, though. I gave several different examples of what could be termed as "long range" that wouldn't work for ASF, but some that could, but you did not. I noticed you cut that out of your quote of what I said, too.
Most ASF are capable of conducting a strike against something else on the other side of the planet, or even out in lunar orbits. In fact, ASF bases are often placed on lunar stations to be in place to pounce incoming dropships, even though they may not be in the best position to do so.
Interplanetary travel, though, is not the point of ASF, nor was it ever intended to be. It is to provide manueverable weapon platforms that can out-maneuver the ships and platforms of the larger ships.
And while external fuel tanks are better at extending range independent of support craft, support craft work even better for that process as they can be carrying a full load of fuel. And if creatively managed, the use of both can extend that range even further.
That's a problem right there. Nine times out of ten, any DropShip should be able to easily evade any ASF. That ASFs are able to do so in function is a courtesy and should really only occur if the DropShip is already damaged or in a MUST DEFEND status preventing it from using its superior mobility.
Because thrust the issue, nor even acceleration. Its endurance...DropShips usually have fuel to burn, ASFs don't. Same with WarShips. They can burn long enough that they can outrun and outmaneuvre the fastest ASF.
So, long range ASF only strikes aren't practical.
ASFs CANNOT outrun a War/DropShip, or escape it. A typical 5/8 ASF has enough fuel for less than 8 minutes of full thrust after which he's a dutchman.
The best use for ASFs is orbital superiority and ground support missions. Fleet defence is a distant third given the limitations, and long range strikes independent of heavy support assets such as DropShips aren't really viable.
Yet they can outmanuever them up close and personal on the tactical stage. Where most Warships and Dropships are reaching their maximum thrust, ASF are still capable of using their Safe Thrust. True, if said Dropship or Warship is heading to another planet, it will leave the ASF behind, eventually (and will burn a much larger portion of fuel to do so). But until it reaches that point it is will within the point of the far more maneuverable ASF's sword.
Also keep in mind that the ASF's strengths are at points were those Dropships and Warships either are trying to reach (i.e. planet) or had no choice in being (Jump Points) where their velocities MUST be slow and cannot out-run these small ships without leaving the theater all together. In the meanwhile, those ASF could get a lucky shot on ammo, fuel stores, or even the bridge, reducing or eliminating the ship as a threat.
For a long-range pursuit (i.e. from planet to a jump point outside the planet's system), a carrier would be required as support craft wouldn't have the stores to help the ASF keep up. And that carrier would need to be faster than those trying to escape to give the ASF a chance.