Having owned both, and modded both, I feel I have a valid opinion here:
1st, if your goal is a 9 second pump gas streetable car, an f body is going to be easier and cheaper to build, and more reliable. Either way 9 second car is expensive though.
One thing I used to agree with: F bodies are like *******s, everyones got one, but GN's are rare. True, and I could never cut my pristine Gn to make a 9 second car. I will cut the damn fenders off my f body with scissors for a tenth or 2. But I don't know about where you live, but I'm not seein' a ton of F bodies on the road, especially modded ones. My 2002 Z is more of an eye catcher and attention getter than my Gn ever was, and I really feel (even today) it was a much nicer car. But no one knows what a GN is anymore, and although I loved being different, I was also paranoid of driving it for the fear of theft or damage. My Z28 has some big n' littles and a cowl hood, and trust me, more people are scared of it than my GN and more people notice it. What kills me is you hear buick guys talking about being unique then you go to a buick event and have to read plates to see which car is yours. Being unique is easy with any car, just personalize it.
My Z is waaay more reliable than my GN, sadly. But I have bought good parts for it too, 12 bolt rear, tranny, etc. I'll go mid 10's in my Z this year on pump gas and drag radials, full weight with a loaded car, carrying the wheels a little. I spent over 40K on my GN and never hit a 10. Never close. I have about $24K in my Z TOTAL. Thats car, 2 sets of rims and tires, tranny, rear, driveshaft, roll bar, everything. And I'm on the higher end of the budget it could be done for. Also I'm at 3700 lbs. race weight. Guys are gutting their cars and going much faster, but its not worth it for me. I could go 9's with serious weight reduction, but then its a race car and I don't want a race car.
The GN is an awesome car and an important part of automotive history. To build one takes alot of money and sometimes parts aren't readily available. Also finding shops to work on them is hard too. If I own another it will stay stock-ish. I enjoyed my GN so much when it was a low 13 second stocker. Then I got greedy and spent too much money to go slow. If ET's are your goal, look away from TR's. Their are much easier ways to go fast for less. If you want a rare fast car that will get you a little more respect from fellow racers, a buick will do it, but you'll spend alot more time and money than most.
I still don't miss my Gn and my LS1 continues to impress me all the time. Plus, I don't watch my oil pressure gauge like 90% of the time I drive, I don't worry when I park it outside, and I love the growing competitive aftermarket. Parts are cheaper, motors are cheaper, and the blocks will take some abuse!