False premises common in anti-A/B-testing arguments
medium.com
medium.com
Also, a lot of the quotes are not so much against a/b test, but people who claim a/b testing is a panacea, and are recommending the wrong tools to the wrong people. (ie tools based around static content to people with entirely dynamically generated content)
basically the biggest problem with a/b testing is that some of it's most noisy proponents have no idea what they're talking about. (this is true of a lot of things)
That said, sometimes there are two (or more) options that warrant testing (say a marketing strategy) and then it works great.
Test strategy, don't test everything, don't test design principles.
Common sense is often only common sense in retrospect!
A/B testing does work well for: 1) choosing between a small number of pre-selected options; or 2) exploring local variations in the neighborhood of an option. #1 is a very traditional kind of experimental study where participants are randomly assigned to two buckets, and #2 is a setting where randomized optimization tends to work well.
Just to add: unless you are testing google.com or some other top 10 site, #2 is not going to work well as each bucket will be too small to complete the AB test properly. eg. 3/100 users in bucket 92 converting is no proof that it is better than bucket 47 with 2/100 users converting.
However, if we take a broader view you can see a market as an experiment. Different companies in a competitive space (e.g. MP3 players before the iPod's dominance, A/B testing software now) choose particular feature sets, price points, and so on. Some are successful, and some aren't. It's difficult to learn from these experiments what contributes to success, as so many factors are mingled together and there is no systematic exploration of the space. As such, a common response is to assign success to the intangible -- "vision" or "genius" -- but I think this is taking the easy way out. Larger companies certainly use the market as a system o judge companies to acquire, and then often get burned when they fail to understand and maintain what brought about the acquired company's success.
And even so, testing just two different designs is rolling the dice rather than exploring feature/design space in search of a new optimum.
As examples, I personally hate what's happened to the android clients for GMail and Google Maps. The former seems a victim of incremental change while the latter seems the consequence of a radical redesign that hit me out of the blue in the middle of trying to drive somewhere when I was already late.
A/B testing doesn't force you to innovate through radical design changes — you can use it just as easily for incremental improvements.
This is a good example that disproves many of the false premises mentioned in the OP, as the clear winner of the A/B tests was a bold dynamic design with lots of character, that was completely different from the original designs.