The biggest thing is you have changed a random write to a linear write, something HDDs are significantly better at. The torrent is downloading little pieces from all over the place, requiring the HDD to move it’s head all over the place to write them. But when simply copying off the ssd, it keeps the head in roughly one place and just writes lineally, utilizing it’s maximum write speed.
I would say try it out, see if it helps.
Also, if the HDD is having to do other tasks at the same time, that will slow it down as the head can only ever be in one place.