44 Webley is a pretty good cartridge, at least on paper, if you look up its stats:
https://en.wikipedia.org/wiki/.442_Webley
It's actually got more kinetic energy (about 230 ft/lbs) than standard velocity 158 grain 38 Special, let alone 38 S&W. And it's pretty short, which is nice for a compact revolver.
But it has got some strikes against it. It has a tiny rim, and almost certainly cannot be used with a star extractor. That limits it to rod-ejector or non-ejector revolvers. Second, it has a heeled bullet, not an inside lubricated one. That is not good for accuracy. Both of these things are due to the fact that it is a
very early metallic pistol cartridge. The Royal Irish Constabulary (which was the British police force in Ireland - unlike the bobbies in England, the RIC needed guns) adopted it in 1868.
Also, the revolvers made for it in the United States were not very good. Because both S&W and Colt had their own big-bore revolver cartridges, and because other major makers, like Remington, used Winchester's carbine/revolver rounds like 38-.40 and .44-40, the only people I can think of that made 44 Webley revolvers here were Iver Johnson and H&R, and maybe some other small makers. The guns they made were small, with small and badly shaped grips. They were probably good value for the money, but they cost very little money. I would not want to shoot any of them with a round that probably has more felt recoil than 38 Special.
So which would I want? In the 1870's, I think the 44 Webley would be good if you could get a well made gun for it, like a Webley RIC. Even in the 1880's, I think it would make sense in the Webley RIC Model 1883:
https://www.rockislandauction.com/d...ott-new-model-1883-ric-double-action-revolver
But after S&W comes out with the 38 Double Action, or especialy the 38 Safety Hammerless, I would want to re-think what I might want to actually carry. Or even the Colt Police Positive 38 (the 38 S&W six shot pistol, not the later Police Positive Special in 38 Spl). They offer a more compact size and a faster reload.
Oh, and 32 S&W? Please. It's the 25 ACP of its day. Better than nothing, but the tiny size of the guns that use are all it's got going for it.