I think the progressive depth rifling was only done on military rifles and I think around the world this was true - or almost. I'm quite sure the Austrians as well as French and English did it as well as the US rifles and all for the hollow based Minnie-style "balls".
The Italian and other replicas of the US rifle muskets and rifled muskets, Zouaves, etc, just had .003" to .004" rifling, one end to the other - no progressive depth & 72" rate of twist.
They all shot really well with a .575" ball and .022" denim patching. I never shot slugs in them. The Zouave I had, shot best with 120gr. 2F- groups of 2" to 2 1/2" at 100 yards were the norm.
For some odd reason, I rarely shot closer in those days , sometimes, 50yards.
With the Parker Hale Enfields, the original bar was reset - progressive depth rifling.
Back in the mid 70's I worked in a gun shop and sold a lot of the Parker Hale rifles. Seems to me the long one, the 3-band rifle had 3 groove rifling and a 78" twist. It shot amazingly well with patched round balls, my typical load was a .022" denim patch and a .575" ball. Some guys used .562" ball and the same patch with equally (maybe) but good results non-the-less.
My favourite at that time was the 2 band rifle with 32" bl. and 48" twist. These shot amazingly well with 85gr. 2F and either the .562" or .575" round balls & the denim patching.
I had not tried the Musketoon, 1861 model until just a couple years ago. Mine was the Italian (Southern) Copy, with brass hardware(bl. bands). It also had progressive depth rifling, .003" at the muzzle and .011" at the breech. I initially started with 75gr. 2F and a .575" ball and of course, my 10oz. .022" denim patching. These were quite snug as the bore of this rifle was .574". When my .562" mould came in, I used that one exclusively, same patching, of course. loading was not difficult. Another member of our club has the Parker Hale model of the Musketoon and he shoots it well indeed, with 50gr. 3F and a .562" ball, patched in denim (I think).
So- I have not heard of the progressive depth rifling giving any trouble at all. I will also note, that the sights usually have to be changed, height or windage, or both.
With the fairly large boss of the PH & other rifles, slotting and soldering in a higher front sight is not a problem. For windage, soldering a "V" plate on the rear sight elevator is also NP for necessary windage.
Hope "this" helps.
ps- I have never shot slugs in any of the military .59's I've owned, only in the .58 Hawken. The hooked butt plate was murder.
Seems to me, the stamped 'service' load on the barrel of my Musketoon was 3 1/4 drams, which is 88.73gr. The service bullet was 560gr. Even with the wide butt plate, I don't think that would
be fun after a few shots.