Here's a trick to view a tweet: use the embed.
https://platform.twitter.com/embed/Tweet.html?id=16748657311...
https://platform.twitter.com/embed/Tweet.html?id=16748657311...
I wonder if this is all a result of the API price hike. Folks probably tried to keep integrations alive by scraping, so now there is a lot of extra traffic on the main site. If integrations start acting like embedded calls, they will have the same problem there soon.