All winchester low walls are falling block,,if i understand your question correctly. There is no such thing as a bolt action low wall.
I have a 22lr low wall. I like them very much! I am partial to engraving on them as i think they look too plain without it. Some of my friends hate my engraved ones,,,,,
The thing some people dont like on a low wall is after it is scoped, some big fingers have trouble getting the case out after it has been shot. I have big fingers and think this is a made up rumour. I have no problems. You may find one with ejector that solves that "problem".
I enjoy the japan made low wall.