Except why would that ever happen? If you were a business owner selling widget X, and it suddenly cost you half as much to make that due to automation, you don't pass those savings on to your customers, you celebrate how much better your margins have gotten and how much more profit you're making.
Certainly you're correct that not all of the cost savings will be passed on to consumers, but as long as the market is not a zero-price-elasticity monopoly immune to social pressure and government regulation, some savings ought to be passed on.
Obviously, monopolies are different, but even with a monopoly cost decreases can reduce the price point at which maximum profit is realized.
Capitalism 101.
Some still remain, though. Race and gender issues being the most obvious (I find it shameful and outrageous that this is still a problem in 2016, but evidently it is). Another fantastically blatant example is having a non-US non-European citizenship and being unable to relocate to San Francisco Bay Area, wherever this magic wonderland filled with ponies and unicorns is.
Others, like access to education, are disappearing very fast, despite all resistance of the education mafia. Thank you, Wikipedia, I owe you so much.