I just replicated the flow today. Here's what I found:
1. You absolutely have to update your graphics card driver or the game goes kaput.
2. The game defaults to using Directx9 even if you have Directx11 installed. I had to go in and change it to run on Directx11. Once I did this it worked fine.
Just an FYI. If you buy it and have trouble with it just let me know.
Rule of thumb w/ any new games - keep graphics card drivers up-to-date.
If you're on Win 7 - Turn UAC off! Many games that want to force updates, so you want UAC off!
You also want to be an Admin, so Windows forces updates.
I'd recommend doing this if you're computer savvy and use programs like Steam, G4WL, Rockstar Social Club, etc - or any games that require those.
Also, I have LA Noire installed in Program Files X86 folder. Since it gives you option of DX9 and 11, you might want to install it there - to get around any 32-bit issues [for DX 9.0] that you might have come up.
If a game wants to install in Program Files X86 on Win 7, you do it. Most PC games still are 32-bit based, not 64-based - so this is the best place to install those.
You should run LA Noire PC 99% of the time on DX11, if you're on Win Vista/7.
There's a level in the sewers [at the end], where I had to drop it down to DX 9.0 b/c there's MAJOR framerate issues there.
My PC specs ran LA Noire very well maxed, other than the sewer level - i7 950; 1 GB of GeForce 560 Ti; 8 GB RAM; Win 7.