Pillagers and Piglins can't shoot the player from far away, they can only shoot if you are within the radius of 6-8 blocks.
I think it's a bug and their shoot distance should be increase to 16 blocks as the skeletons have.
Why don't Pillager/Piglin use the crossbow more effectively?
Please add [shoot_range] tag for range mobs
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I found this: if their crossbows are loaded, they try to shoot the player from an infinite distance! If the crossbow is empty, they try to get too close to you(as you have already indicated, 6-8 blocks).So, I can confirm this bug for 20w27a
Can confirm in 20w49a. They only seemed to load their crossbow and ataack, when in the range of 8 blocks.
Not necessarily a bug, but more of a mob mechanic