If the skip line pattern doesn't allow for a nice clean up w/o noticeable wide and narrow lines ,,
You could relieve the checkering that is there. I'd probably keep the orig borders as they look quite deep.
Removing the skip-impressed checkering goes pretty fast with sharp chisels and scrapers.
Then cut a whole new pattern in the relieved area. That sort of checkering with a relieved edge at the border or the entire pattern area taken down makes for a nice look IMO.
The only thing to watch is not to make the checkered area too deep of a relief. That may make the whole idea no-go on this checkering outing as you may have to go too deep to remove the orig checkering.
Most every recut over impressed skip line checkering leaves some evidence behind.
If there is chance that the stock itself could use a slim down, and most factory stocks are good candidates,,then I'd slim the entire stock down to remove the impressed checkering and re-checker with anything that you like.
More Work!
