Which is 'quieter' can't be determined. There are many NAS boxes. Some better than others.
But for a 'home server' you don't really need anything special. My home server/media server is a $350 box I put together last year, running Win7. A couple of large drives (one external), and I manually sync over any critical data as needed.
Shared folders, and any PC on the network can see whatever it needs to. On a per user or per PC basis.
In a disaster scenario, all I have to do is grab that external and one of the laptops....and off we go.
It all depends on how automated you want everything. Me? I prefer relying on me copying the stuff over, rather than some possible proprietary solution that may or may not work outside of its specific environment.
Being quite is just one parameter, but you didn’t define all your needs which are more important. How much capacity do you require, how will you access the data, data access pattern etc.
Asking for the quietest NAS is very much like asking for the car with the biggest glove compartment.
The question users should ask themselves is why they need NAS in the first place for home or SOHO.
Most of the time, it would be "backup" or better phrased redundancy in case of disk failure and access by multiple devices.
The modern solution is simply depend on the cloud.
While it does require to communicate outside the local network, the benefits are that you get real redundancy including off-site copy, you get true access from anywhere e.g. when on the rode and not depending on your upload speed, and you can easily share with friends and family.
Sure. Costs are high, but you can use co-sharing solutions for free like www.noobaa.com (their in beta) that allows you all the above, though sharing is limited to your social friends.