When a private company takes risks that could negatively impact non customers economically, I feel some of this risk should be reflected in the price, or in taxes, in order to create an accident fund. In many cases this would make the adventure non competitive.
As far as I am aware, there is no material that is expensive enough that it's worth the cost of moving it from space to earth. Even pure gold from space would be a loss.
the question for that is how much you would have to get to cover your fixed costs.
Still, deorbiting stuff in a controlled way is going to require something to be sent up - some reentry vehicle. And getting the reentry vehicle up there is expensive. If that reentry vehicle gets used up it will certainly wipe out your profit. 1 ton of platinum is $25,000,000... but a reentry vehicle plus launch costs is definitely more expensive than that.
Maybe some modern day space shuttle system that was fully reusable would work. Perhaps it could be a revenue generator for SpaceX's Starship on the way back from Mars?
If you had the asteroid in orbit already and in-orbit mining + refining, getting the metals back down would be profitable.
The problem is that "just" a cargo return capsule would still be very expensive because everything in aerospace is very expensive. And there would be fixed costs running into many millions.
I think if the scale of the operation was big you could turn a profit at current prices. But a large scale operation would affect the price.
Also having a lump of platinum conveniently parked in LEO is kind of easy mode. If you have to get from somewhere then you're looking at an interplanetary mission, and the cost goes way up.
Again it would be profitable at scale... but the price would be affected. At some point I think there's a crossover.
Side note: if you haven't already, I highly recommend playing Kerbal Space Program for a while to get an intuitive understanding of the challenges of space industry. It's really fantastic for learning about orbital mechanics, the tyranny of delta-v requirements, and challenges of in-orbit docking maneuvers. It even has some missions where you can try to capture an asteroid.
[1] https://www.planetaryresources.com/