So if the FBI drops a confiscated laptop and the hard drive breaks, can they compel Seagate to recover data from the drive?

Not the same. This is more like if the FBI wanted access to investigate a space murder and demanded Virgin Galactic to build a special shuttle to allow the FBI's equipment to the station, something only Virgin Galactic can do because they're the only ones who have the key to the space station.

and Space Station Technical services had a key to the space station but the FBI ordered them to throw it away some time before contacting Virgin Galactic and saying put people to work building us this special shuttle because otherwise we can't get in.

Then let's say the FBI handled a confiscated SSD drive wrongly, and some of the communication circuits of one of the flash chips holding the data got fried as a result. Your only bet to get data off that chip is the manufacturer of the chip. Could the FBI compel them to try?

I don't think the law would differ between that case and if they found the drive that way.

If the FBI has the legal right to assistance, that shouldn't change based on whether they messed up earlier. It should depend on the situation now.

The All Writs Act doesn't say any thing about having a special or unique ability.

But that might affect the reasonableness of the request. If the FBI can do it with off the shelf tools, it's less reasonable to ask someone else to do it than if there's no other option.