As you know, life is full of compromises. Tis true in rifle barrel taper selection too.
As far as I know all No.1V's were a straight taper with a length of 24". An exception is the No.1V 220 swift, which has a 26" barrel, mainly due to the belief that the only real barrel for the swift is a 26"+. Then came the stainless No.1V's of which I think were 26" straight taper. Ross knows all of that stuff, I have never owned a stainless No.1...............yet.
All No.1B's I believe were 26" sporter type barrels. I really do not get into collecting anymore, so some early, early guns might be different, but are few in number if they exist; relatively speaking.
The No.1B features the sporter type barrel. Sporter barrels vary in size, weight. Most have a small straight tapered section at the breech, flowing into a complex curve down to a section of constant taper to the muzzle. Some of the taper features are done for balance, weight, style. A #1 Shilen taper is a pretty light barrel, whereas the 5.5 taper is pretty stout; but both are sporter barrels.
The No.1V is sometimes referred to as a varmint or target type taper. Starting at the breech, a short section of straight taper, follows immediately into a constant taper to the muzzle. Usually these types of barrels causes the rifle to be somewhat muzzle heavy. With that said, the extra weight helps with heat and riding of the shoot bags in varmint or target shooting.
There are subtle things about barrels, for instance, the heavier barrel is usually easier to figure out shooting wise. Sometimes the super light barrels walk with heat more easily, and are more fussy to bed and get to shoot consistently. There are techniques in barrel making, as in destressing techniques via heat, to help these things.
In my opinion the No.1B is a medium sporter taper. A compromise to the environment of the intended use. The No.1V is a bit perhaps more at home in a rest, target shooting, handles heat more better usually. You might go out to a barrel blank site, such as Danny Lilja's, to see tapers and weight calculators.
I think I will quit on this, taper is only one of the many factors that makes a good shooting barrel...........subjectively and on the technical side.
One might think of the B as a typical hunting type rifle, whereas the V is more a varmint target style(heavier). You might peruse the Ruger factory site for typical models built today. The B is temporarily(?) missing currently. I reckon there are a lot of folks that use what they got, ie a V for hunting or a B for varmints.........so there is flexibility to these guns, if you have the same flexibility.