The advice is in Ravenloft because it was the first nonstandard campaign style they introduced to 5e (Dark Fantasy/Horror). The DMG explicitly advises you to use Ravenloft game products for this type of campaign on pg. 40. And that's how all nonstandard campaign styles, i.e. anything that deviates from Heroic Fantasy (the default for 5e - DMG 38) work; the DMG briefly describes them, but you're expected to use other game products actually set in that campaign style to flesh them out, relying on third party or homebrew if nothing official exists yet.
Some methods of fighting entail or invoke a type of weapon in order to function. Just like Great Weapon Master assumes heavy two-handers that use Strength and Sharpshooter assumes projectile weapons and darts, Sneak Attack assumes finesse and ranged.
I'd say that rather than removing level-by-level multiclassing, the better solution is to make Tier 3 and 4 class features more desirable. Multiclassing will still be the ideal choice for many builds, but it wouldn't be as automatic as it is now, and become a true choice. All the martials are getting upgrades along these lines, that make straight-classing much more attractive for them.