When I replaced the fork on my old road bike, I put a carbon fork on it that had carbon dropouts, as opposed to alloy drop outs (the drop outs are the half-circles that attach to the wheel at the hub). I was also told to not use a fork-mounted bike carrier like this, and to use an upright carrier, more like this.

Perhaps it is primarily a CYA move on the fork/frame manufactures part, but I took them at their word - so as not to put huge and unwarranted stress on delicate parts. So, I use a rear hitch mounted upright carrier.