I'd say that if I had to pick a neck carve it would be a medium C. I like thinner ones as well. But a long time ago I didn't know anything about neck carves. I came into a late 1920s L-5 with a pickguard-attached McCarty pickup. I had no idea it was collectible. That neck was big and it was distinctly different than the Gibson slim carves I was used to. But the L-5 was then my only guitar. Within a month it felt normal.
Now I have an assortment of guitars. I pulled out a Thornton that was specified when made to be a 1958 carve. It is fatter than any Heritage I recall handling and is like my old L-5. After a couple of hours it was comfortable. But then I'm not a virtuoso.
I know that many artists are very particular. Some are not though.
Here are some pics. This is about 7.5 lbs, some of that being the fat neck. But the weight is not an issue. I hope you can appreciate how round the neck is from these pics.
I would never claim a fat neck makes the guitar sound better. The guy who had this guitar made had two models with the same neck. I don't know why he was that specific.