Caslon, Are you planning to have a vacation in London?
Your video said,
"There are B&Bs in London that are as little as £22 a night, which is the same as hostelling, only you have your own room."
But the reason why I uphold hostelling, not just in London, but anywhere in the world, is because each hostel has its own kitchen, free to use by any hosteller, where you can cook your own meals after buying raw groceries from a nearby superstore. In one of the world's most expensive cities, this does wonders to your budget. The longer you stay in London, the more you see how your saving of your funds add up!
I have just posted to another thread, "Long Vacations" about the places I had visited by hostelling, the the high level of socializing and making friends at a hostel environment.
But your video is spot on about museums. They are free, but the British Museum, the largest and best in London, they encourage visitors to donate to help the cost of upkeep. However, there are other attractions, such as the Tower of London or Madam Tussaud's which do charge a (hefty) fee for admission.