My guess is yes. I've had a Nikon filter on from the day I got the lens, along with the standard Nikon metal hood and no vignetting that I've noticed.
My read is that the distance you care about is more to the total front to back without internal as that is where the lens hood will stop.
Thin is much better, provided they are strong. I just have purchased Nikon filters over the years and never had problems.
B2 (;->