What problems do people have with chains? They're dirty? Well, yeah, you have to keep them clean or put them in a chaincase. They break? Never happened to me, but keep a $5 chaintool in your bag and you can remove the faulty link more quickly than you can fix a flat tire. The gearing doesn't work? Don't ride a geared bike if you don't know how to shift, and don't ride a racing bike when you're commuting. Get an internally geared bike and you will never have gearing problems again.
The chain is one of the least problematic of any bicycle part. But then again, there aren't really any problematic parts on bikes, which is why people like them so much.
Also, the reason why a hubless wheel is stupid is because there is nothing keeping the wheel round. The hub and spokes on your wheel are not there to look good, they are there to give the wheel strength. A metal rim like the one in the article will be bent unusably seconds after someone mounts the bike. A carbon fiber rim will just break explosively the first time you go over a bump.
Anyway, what I've learned from this article is that people associate all the problems they've ever had with bikes with the traditional design, and want a non-traditional bike because they think it won't have problems. The actual solution is to get a traditional bike that's setup for actual use instead of racing. Racing bikes are not fun to ride to work. Commuting bikes are.
Chains have very real problems and frustrations that crop up often- when used on motorcycles. When it comes to bicycles though, I suspect it is the other problem with chains that drives people;
They aren't pretty, symmetric, or aesthetically pleasing. Strangely, this is apparently a very serious problem for many people.
Note: All the problems with a motorcycle chain apply to a bicycle chain, but motorcycles travel massively greater distances, at higher rates of speed, through tougher environments, while transmitting anywhere from 20-400x as much power as a bicycle chain.