I don't think the problem with this game is Core 0 being maxed out. The real issue that's causing the stutters, in my opinion from my own tests, is the system RAM getting maxed out, even when you run it at 720p, lowest possible settings with AA & AF set to off. I got a GTX 970/i5-3330/8GB setup. Here's the screenshot:
As you can see the drop in frame-rate to 52fps was actually a stutter here. The CPU usage seems fine, GPU is barely being utilised. VRAM is almost full, but still acceptable. The only explanation is the 8GB RAM being full here. And no, nothing was running in the background except for Forza 7. I ran the game after doing a fresh bootup, and the RAM usage after a fresh bootup is usually 1-2GB leaving 7-6GB empty.
Another screenshot just to show that Core 0 is never always at 100% as people seem to think, and I'm certain that the CPU isn't the cause for stutters.
Have you also noticed heavy system RAM usage with this game? Let me know what you all think.