With Hard Drives it seems like people either have luck with one brand or another. Some people have sworn off WD drives for constant failures, others Seagate. I've been leaning towards the latter, personally- Seagate has had some issues with their drives over the last decade or so. A few models really skew their failure rates, including the one you mentioned. Just speaking for myself, I had a 1.5TB which failed after about a year; I replaced that with a WD Red which has worked for over 4 years, and later got a 3TB Seagate ST3000DM001 for more storage- which started to show signs of failure after 6 months (disappearing from Windows, very poor performance, etc. I moved it to another infrequently used computer and it pretty much failed last weekend. In the meantime, none of the WD Drives I've bought have failed, which includes two WD Blues, a WD Black, and a WD Red.
If you are concerned about the other system with the Seagate drive, you can determine the model number and see if it is one of the models with a relatively high failure rate. I w ouldn't expect laptops or premanufactured systems to still be using the problematic models, but you can never be too sure I suppose.