P.S. Found the described setting in the web client. Those settings pages look a bit different than I recall. I think they have added options to them since I last looked (months ago). Or, I am simply clueless -- wouldn't be the first time.
Thanks, again.
Under the hamburger menu, I can only choose which user profile and what category of content I want to view. There is no "Account Settings".
The "three dot" menu does have a "Settings" item, but it only offers a very limited set of settings, not including the one you mention.
I did find a setting on the Netflix web page interface, and I changed that. But it appears to have had no effect on the behavior I experience under the same account and profile on the Nexus tablet.
(The web page Settings page offers many more choices than the Android app Settings page.)
Mobile: Netflix App | Hamburger | Your Account | Playback Settings | Uncheck "Play next episode automatically"