They do, they are attached via FibreChannel or SAS for example. FC offers 16Gbits since 2011 and SAS 12G since 2013 (and of course even faster versions since then).
same here. I would love a tape drive at home. My dji osmo action cam is producing films at 100Mbps. A 1Tb drive can only hold 23h. That's 11.5h if you store the data twice for redundancy.