Actually, at least in a technical sense, they'll have been into 'space' if their parabola meets/exceeds the official FAI definition (100km, as I recall). Still, it wouldn't be nearly as fun as spending a day in orbit.
I'd be hard-pressed to choose, but given the economy, I'd end up holding out for an orbital trip and going for the cash. The five minutes or so I'd actually be in free space at the top of the arc would hardly be enough to dig on the zero-G and get some video footage. Orbit is really where it's at; you'd get sunrises and sunsets -- really freakin' awesome ones -- every hour and a half.
A few years or so back, the company that handled all the ISS "space tourist" flights was kicking around the idea of offering circumlunar flyby (non-orbital) trips with surplus refurbished/upgraded Soyuz hardware, but I don't think that ended up going anywhere.