From using it back in the day

Pro 160c isn't really a Velvia in neg form!
Its a version of 160s with more contrast, color reproduction is much the same .
Maybe bit more punch due to the higher contrast but I always found it pretty negligible!
It is a nice film though if you want a contrasty look..
Kodak 160vc is more saturated, little sharper than the fuji films as well, warmer overall colors.
I'd have thought Provia F would have been the closest to Astia F, to be honest I never got round to trying any of the Velvias other than 50 or the Astia F, but i always thought it went
Astia - Provia - Velvia in terms of saturation and boldness!
Oh and I forgot to add Fuji killed 160c a few months back so whatever is out there is the last of it!