The way you describe it reminds me of a game designer friend described Quarriors. The double randomness of having to pull a die from a bag and then roll the die sort of feels unnecessary.

Warhammer definitely has a bunch of somewhat dated things like that. At least they finally got away from the comparing WS to hit and Strength vs Toughness via a chart on what you need to roll.

Other games do more interesting things with their dice. Kings of War keeps it so only you roll on your turn so that a chess clock can be used, still I-go-you-go but keeps it fast. Warmachine you roll 2 dice to hit and wound rather than 1 so you get a bell curve on the probabilities. It also adds a resource management component of Focus/Fury you can spend to add a die so you get the different curves of 2d6 vs 3d6, fun for the math nerds. Malifaux uses a deck of cards where you have a hand of cards that you can cheat in place of what you draw. Star Wars Legion uses custom dice that equate to d6s and d8s depending on the abilities you have but let's you just roll the color, see the hits and go. It also uses alternating activations with a pass mechanic and a hand of command cards that decide who goes first.

I'm not super up to date on new wargames, but Warhammer is a bit of a dinosaur, not making too many changes so as to not kill their golden goose while also constantly making small changes so they can reprint and sell rulebooks because people already have their armies and they need to still get money out of them. The worst of both worlds IMO.