It would appear that, in defiance of "old-fashioned" people like yourself, AMC is delaying the disc release while it chases new-fashioned streaming revenue.
Season 4 was available on Netflix, Amazon Prime Video, iTunes and elsewhere starting in late 2017, but it's still not available on DVD (nor mid-fashioned Blu-Ray).
Many industry watchers argue that studios favor streaming releases for a number of reasons, in which case it makes sense that they'd give the release-date advantage to streaming over disc. The retail numbers certainly favor streaming: streaming revenues bypassed discs for the first time in 2016 in the U.S., leaving them even further in the dust last year. Meanwhile, the Blockbusters and HMVs of the world are disappearing -- it's getting harder to buy DVDs, while subscribing to a streaming service is getting easier.
As for whether we'll ever see a disc release of "Turn" season 4, it's hard to say. It seems likely, since the first three were released already, and the fourth season was the last one. If the studio releases the fourth on disc, it can come back again in a year with a boxed set that collects all four together, which would squeeze a bit more cash out of the series.
However, gone are the days when every series eventually got a DVD release. Fox stunned a lot of people back in 2015 when it announced that seasons of "The Simpsons" would no longer be released on disc. "Simpsons" showrunner Al Jean gave basically the same reason -- studios prefer streaming to discs.
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