Its quite easy to come with an original idea for billionaires to spend money in an extreme way, and then making some 3D artist impressions.
Buying an old worn out third hands 265 meter long (not 165 meter like they wrote in the article) aircraft carrier, removing all the asbest (like Spoz already said), removing all the oil and other chemicals, removing of military systems and other unusable installations, the whole replacement, refurbishment and renovation including wiring, propulsion system and sanitary systems is something else. I am afraid that it will become an even more headache project than the Vikramaditya.
Besides all the points above, everything have to be done in the most environmental friendly way possible. Imagine if something happen with the chemical fluids on board.
The ship will be more famous because of the protests of environmental groups, delays and cost overruns than because of the eye-catching facilities.
Construction of new built superyachts or purpose-built launch and recovery vessels are absolutely much more practical, cheaper and most of all faster to realize.