Just to add to my last post:
Voyager I's trajectory was directed (gravity-assisted) off the ecliptic by ca. 35 degrees to the north during its designed close encounter with Saturn* (NASA - right, what do they know?). If it were to return covered in ice, it surely would not have an orbit along the ecliptic, and some would consider it an icy comet from some distant cloud of comets which must have persisted for billions of years. How else could it have such an orbit?
It should not be difficult to appreciate that the gravitational impact of inner solar system objects could dramatically alter a comet's orbital motion, suggesting it came from any direction in the sky. Even more so when you consider this activity has been happening every time it enters the solar system - for many comets, hundreds of times or more. Indeed, it would be very surprising if its orbit remained unchanged after a few passes, to say nothing of so many it could have made.
Clearly any accurate modeling of the origin of comets from orbital mechanics needs to look at gravitational effects from larger bodies in the inner solar system (for a great example of this issue, see NASA re: "sling-shotting"), and what it means about trajectories. Voyager 1 proves that this is non-trivial in the extreme. I suspect that such models could not possibly take these events into account. The origin of many comets remains a mystery until unequivocal proof is established. That is not currently the case.
Incidentally, Halley's comet is fairly well established. Remarkably, it is believed to have been in a much larger orbit, and then because of inner gravitational forces, its orbit was greatly modified and now reaches out to around the orbit of Pluto. Modeling the origin of comets is clearly not an easy task. And every comet will be different, potentially to some degree(s), and in more ways than one.
There are good reasons I don't want to hear about orbital mechanics and comet modeling, zclayton. If you have anything brief to add that punches any holes in my commentary, I would be happy to entertain them. Try not to drag too many details about comet orbits in. After reading about Halley's Comet recently, I just don't see mechanics as an issue to debate. My apologies for having been there, done that too many times. You caught me on a bad day.
Now out-gassing of various things are of great interest to me after the 2I/Borisov data. That showed a big spike in CO emissions. If you have knowledge of this for various comets, that would be something I know little of and could indicate where they formed in the early stages, depending on emissions. But there are also other factors in out-gassing content you might know if you have studied it.
*
https://voyager.jpl.nasa.gov/mission/interstellar-mission/