In all fairness, it's difficult to make a CVA or T\C Hawken look like a real Hawken. The first pic below is my T\C Hawken acquired 1979. It now has a GM barrel, "Real" Hawken TG and DST's. I also installed a toe plate. I changed the trigger hardware as I simply got tired of looking at the factory TG.
Comparing that to the original in the second pic, not reproduction rifles labeled "Hawken" have two wedge keys. You could install two wedge keys but then you have to patch where the factory one is....and that's likely gonna show. Also, the nose cap would have to be redone to look like the original, and the BP would need replaced with one that looks like the original.....but would also have that "shoudler stabby" top design.
But, the T\C and the CVA are great tools for hunting or target shooting. And that was their purpose. Those rifles got more people into BP shooting than anything else.