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.