I noticed they used to switch me back to "top tweets" after I had clicked on latest. It has happened several times. I'd click on "latest tweets" and it'd show the latest tweets for a while, then I'd visit the site and would see the top tweets and find it weird, and have to click on "latest tweets" again.
I found in sleazy. It's not happening anymore recently.
Which client or browser are you using?
Chrome on Ubuntu and Android. I doubt this to be browser dependent as the preference should be stored server side.
The preference is actually stored client side in IndexedDB.
I’ve observed Twitter showing me two different sets of “Latest Tweets” on two different devices- I’ve only found Twitter tolerable on third party clients recently
I'm comparing "Latest tweets" with lists all the time on the web version (looking at "Latest tweets" throughout the day, and scrolling through lists of users I follow in the end of day) - inconsistencies are pretty rare, sometimes a tweet disappears from "Latest tweets" for no obvious reason, but that's like 1/1000 occurrence.
How can I do this?
It's actually quite unobvious - you should click on "sparkly" icon on the upper right corner: