High quality products were made for many years with no analytics, just by thoughtful design, using the product yourself, and gathering some feedback from users manually. Even without statistically representative data from some large target population, you can use your brain to figure out what goes wrong and how to make a good product.
And I think lots of products today are quite annoying because of bad decisions based on flawed analytics data. It's hard work to run a good experiment and avoid confounding correlations and plain bugs that throw off the results, and practically nobody today does the hard work. They just run the analytics, get some flawed buggy numbers, interpret them without sufficient care and thoughtfulness, and push through bad design changes. We're data-driven! We're just not looking at the road.