Don't know if I would feel like I was a REAL astronaut. I would feel like i cheated by just paying my way rather than earning it.
Well, in the long term astronauts will be history anyway
At the biginning there was primitive tools, simply made of wood and stone. Then there was the wheel, boats made of wood, steam engines and trains, and today there are about 10.000 airplanes in the air around the world
each second and most of them travel by about 0.8 Mach. Who would have ever thought about that only 100 years ago? And not to mention flights into earth orbit, to the Moon, and beyond, unmanned for now but it will happen manned as well sooner or later.
Meanwhile I think that space travel will become what aviation has become until today: available to almost everybody