If I recall correctly, the low wall was originally modified from the original high wall action to make it easier to load smaller cartridges, such as the .25-20 SS, the .32-20. and the .44-40. I once had one barrelled to a wildcat cartridge using the .222 rimmed case necked up to .25 caliber, with the idea of duplicating the performance of the .25-20 SS with lead bullets.

I found that if I used jacketed bullets and heavier loads, extraction became difficult, because the action would give somewhat and then spring back, forcing the obturated cartridge case deeper into the chamber. This was an original low wall, but if the Browning replicas are no stronger I would emphatically recommend against using the low wall for a larger modern cartridge.

I put the low wall in the same class as the Stevens 44 and the Ballard as far as strength is concerned.

My personal favorite inexpensive single shot is the Ruger No. 3, which unfortunately is getting more and more expensive. It would accomodate any of the cartridges mentioned with ease and has the added advantage of a rimless extractor.