It depends on what it is really + convenience. There are lots of morons out here running basic info sites on full beefy datacenter VMs instead of a proper cloud webhost service.

The most you’d be getting out of cloud is reliability. Self host assumes you don’t have any bottlenecks (easy enough to pass), but also 99% uptime which is impossible unless you are running with site redundancy (also possible, but I doubt how many people own multiple properties with their own distribute or private cloud solution).

if 95% uptime is acceptable, and you don’t live in an area with outage issues from weather, I’d say go for it. Otherwise, you can find some pretty cheap cloud solutions for basic websites. Even a cheapo VPS would probably work just fine.

As someone who’s set up and managed critical business applications I would say that it’s perfectly fine to host your own provided you have decent hardware that’s capable of doing what you need and as a dedicated business line to provide connection.

If you try to run mission critical business applications on a home internet connection you’re going to have a really bad fucking time. But hosting business critical applications on appropriate hardware and a 1Gb/s business connection with an SLA is going to meet 95-98%% of all business applications.

If something like that sounds expensive or too difficult to do then it’s too expensive or too difficult for you to host yourself. Just go with a provider and sidestep self-host.

Is it feasible to self host websites

yes

for small businesses

NOPE

Well, you say your business sites, so I assume you’re okay with downtime. I would absolutely not self-host sites for someone else’s business, because if something happens to the hosting (ISP outage, power outage, bad update, hardware failure, accidental deletion, misconfiguration, ISP block, flood/fire/storm, theft, I can go on) then it’s my ass on the line. Simple hosting is cheap, spend the few bucks for a lot more peace of mind.