No. UA fucked up because they violated Federal Law. Ticket purchasers on airlines have contract of carriage rights. An airline can refuse boarding to a customer for any number of reasons but if they are bumping a passenger than they are required by Federal law of offer 200% of the price of the one way portion of their flight if the delay to the next flight in under an hour and 400% if it's over two hours delay. Which the passenger is well within their rights to refuse. It is then incumbent upon the airlines to negotiate an equitable settlement, before boarding!
However once boarding begins the contract of carriage laws are quite specific and the airlines are required to provide a notification, in writing, to the passenger being removed from the flight why they are being removed, in a "bump" situation.
United CLEARLY did not provide a written notification to Dr. Dao before the police were summoned to beat his ass and drag him off the plane.
Now obviously United may not have intended for the Cops to have beaten the passengers ass and dragged him off the plane and the conduct by the officers is not permissible conduct (which is why all three have been suspended). However United made a huge fuck up of staggering proportions by not closely adhering to Federal Law and providing Dr. Dao a written notification as is required. That fuck up was dramatically compounded by the Cops going postal on Dr. Dao's ass but ultimately United will be held accountable for that as they summoned the Police.
So yea...try not to get your information from Youtube...You might want to look at a variety of sources. Dr. Dao is going to make out like a bandit because United CLEARLY violated Federal contract of carriage laws.