Who is the owner of the world's only private Boeing 787 Dreamliner?
The registration number of this aircraft is well visible in the video: 2-DEER.
According to Planespotters, this B787 was first leased by Jet Aviation Flight Services from 2014 to 2016. During this time it was registered as N28MS.
In 2016, the plane was bought by Deer Jet, a company owned by HNA and received the registration number 2-DEER. The video was published in 2017. That means 2-DEER was not privately owned, but available and furnished for private charter clients. The video title is a tad misleading.
Deer Jet was trying to sell it for 300 million US$ in 2018 (source).
In February 2020, 2-DEER was spotted still in Deer Jet livery. It appears that they couldn't find a buyer.
The registration number starting with 2- might look unfamiliar to most of us. A company called 2-REG offers these personalised registration marks. Here is an advertising text from www.weareguernsey.com that summarizes it:

2-REG is an ICAO (International Civil Aviation Organisation) registry,
well-recognised around the world for accommodating all aircraft
categories, including commercial aircraft, business jets, helicopters,
and general aviation. In 2015, 2-REG began to issue Aircraft Operating
Certificates (AOCs), and six have been issued so far.
Run by the Dutch company SGI Aviation, 2-REG pays royalties to the
Guernsey government on operating income. The registry has built its
reputation by being extremely responsive and customer-focused,
offering its worldwide coverage coupled with competitive fees, making
it the most successful registry within the aircraft leasing sector.