Not much to add that 122 years of hunting hasn’t already shown. If they have accuracy issues one can make them a lot better by relieving any stress caused by tightly tying the barrel and magazine tube together. Gently relieve the inside of the barrel bands where they encircle the barrel. You don’t want them loosey goosey, that doesn’t look good and is excessive, just give them a teeny smidge of room so the barrel can freely expand a tad as it heats up without the magazine tube exerting pressure on it. Also, the magazine tube plug screw that goes into the barrel at the muzzle can be unscrewed just enough so it isn’t hard tight; you can use a dab of Loctite blue to keep it in place if you want.
If it shows evenly disbursed groups of whatever size the above won't help much but if it shows a tendency to string vertically this can help quite a bit.
Another thing to look for in these older Winchesters is damage or wear at the crown caused by careless or overly exuberant use of cleaning rods since they are difficult to clean from the breech, but cleaning up the crown is an easy fix.
Of course, this is all moot and just loony talk since after all, it's a Model 94 .30-30 and will jump to your shoulder in an instant and kill that deer like Thor's hammer, so there will never be a need for a second shot...