As novice person when it comes to car mechanics, I thought I'd add my input.  I most bought my Vette because its V8, shiny, and looks awesome.  My mechanical skills are very novice compared to the wonderful work I see others doing on this forum.  I see owning a classic car as an excuse to tinker with a car, and have a go at fixing things myself.  The Vette, as expensive and shiny as it looks, is actually fairly simple without any complex electrics in it.
So far I've had a go at playing with mine and done little bits here and there.  I know a lot more experience people will think of stuff as easy, but its a great feeling of accomplishment when you have a tinker, diagnose and fix a problem.  I had an issue with mine when it was a hot day, diagnosed for ages and ultimately worked out it was fuel percolation (something I didn't know about before) going on in the carb.  So it was all learning for me, and a "scary for me" fix of removing the carb and placing a small (0.5 inch) heat isolation gasket between the intake and the carb.  I learnt a lot doing that and it was great.
Now I have my Vette (and my FTO) in a nice big double garage, I'm intending on doing more tinkering with them so I can learn and maintain them more myself.
That all said, most jobs I do prefer to take the Vette to a garage to do.  From my perspective it is a hugely costly purchase I made, and a big investment, and I don't want to risk buggering it up.  My FTO however, had it for ages, its pretty much worthless nowadays so if I bugger it up - Meh.