Yes, it happens to all profiles I visit and I can rule out the pins/highlights feature. There's a weatherman in Texas who is a prolific tweeter and his page shows a random assortment of years old retweets (~2015), some tweets from last month, and no current weather forecasts. They don't change between page visits and none of them are in chronological order. What do you see when you visit https://twitter.com/wfaaweather ?