The point was never to use it as a means of thrust. That would be stupid as it would defy conservation of momentum.
ETA: Okay, wait, I think you are saying that when it radiates heat you'll get that energy back in the form of the kinetic energy when it impacts the collector? That's just false. The radiation is going in all directions, it's not speeding this stuff up relative to the ship, it will impact as the same velocity that you launched it at. You don't get that heat energy back somehow.
I was assuming liquid.
The only latent heat of vaporization you'd lose would be in the form of the kinetic energy of the molecules going off. You collect them, you get it back when they impact the collector.
Ditto for bullet speeds. If that gas goes off in all directions at average speeds of many hundreds of metres per second, it solidifies when most of it locally is going at more or less the same speed in the same direction. You know, less local chaos, less temperature. The resulting ice needle would then be on the average going at the speed the gas molecules were going when they went off.
Since, you know, we started from THIS post:
I started a thread once about the idea of just spraying some sort of coolant into space (and then collecting it once it had cooled*).
"Spraying" and "coolant" tend to suggest liquid, you know.
Using a solid, well, that sounds just... not worth it, to say the least. It introduces a whole bunch of complications to even make it work, not the least being that then you'd need some kind of propellant if you want to stick to spraying it. So now you're still losing matter, but for no added benefit.
An even bigger problem is that any solid granules you eject are a lethal hazard for any other ship flying through it. See my space-FLAK comment earlier. So if you want to have a whole fleet, like in epic space battle movies, with half a dozen carriers, hundreds of fighters and bombers buzzing around, etc, congrats, you just made it a minefield for your own side. The WW2 equivalent would be using flak where your own fighters are.
AT BEST, now you've created the problem that everyone needs to be permanently aware of where everyone else's deadly cloud of solid granules is, which is a nightmare.
And you still have extra points of failure when you essentially have two spacecraft instead of one.
And anyway, having a collector following a couple of minutes behind negates the whole advantage of a finite light speed. Because they know the collector has to follow your exact trajectory. So whatever probability cone they would normally have for your ship, they have a MUCH smaller one for your collector. Because from where it's now, you know one point it's going to pass through, and at what moment.
While the end point may still be ahead of that known point, you reduced the time that you need to guess where it's going to end. The probability cone just got a lot smaller.
So now if I want to disable you, I don't even have to flak YOU, I can get a much more accurate prediction to flak your collector.
So, really, why bother?