I've ridden my old road bike on the Katy Trail many times. Fine groomed limestone.
My newer CF bike... not exactly new, but newer..
I don't really like riding it on gravel, but this EWEB Canal Path is fine pea gravel, and seems safe enough.
I think the new tires are better than the old ones, and taking higher pressures. I can remember hitting a rock wrong in the past and getting an instant flat... that hasn't happened in years, so I've started riding down Mom's gravel driveway much more than when I was a kid.
Anyway, I'm not taking it on any intense gravel rides, but some gravel and dirt is just OK.
Ohhh... and last Wednesday I got to ride on freshly laid Chipseal.
Like loose gravel on a hard base, and some tar peaking hrough.