Yes, the toppers have a nicely tapered barrel. I have late model 58 that I put the synthetic stocks from an NEF on, and it fit fine. Mine is a .30-30, and is very light. Keep looking for one, you will be happy with it once you get it. NIce thing is, with the later one, anyway, is you can fit youth stock, or m/c stock for scope use, or straight-comb stock for open sight use. I went so far as to buy a titanium bolt that holds the stock to reciever, in order to shave another bit of weight!!
Mark