Crossbow too late to matter (you said "in the West", and my comments are likewise restricted), though... whatchu talkin' 'bout? Crossbows in Europe are over 2000 years old, so "too late" seems a little improbable. And they were the dominant ranged weapon in most of Europe for hundreds of years (roughly 1100-1500), so they totally mattered.
Crossbow too late to matter (you said "in the West", and my comments are likewise restricted), though... whatchu talkin' 'bout? Crossbows in Europe are over 2000 years old, so "too late" seems a little improbable. And they were the dominant ranged weapon in most of Europe for hundreds of years (roughly 1100-1500), so they totally mattered.