[aao]

>Do you think something like this is feasible for a home media server?

Absolutely. It's easy to install, works great, the only problem you need to solve is DNS. Either you need to use a service to point the domain to your dynamic IP or rent a static IP for your home address, which could pot expose your home network to attacks.

>things like video streaming from this would be slow

Depends on your uplink. Probably. If your home internet is fast you can stream for yourself or even a couple of people, but you can't really run a video streaming operation. It's easy math, just watch your bandwidth while your stream a video. On private customer plans, uplinks are usually artificially made a fraction of the bandwidth of downlinks by ISPs because they want businesses to be unable to run on them and buy the more expensive options instead