Mobs don't seem to be affected by the attribute generic.entity_interaction_range.

How to reproduce

1. Try summoning a zombie with the entity_interaction_range set to 0

   /summon zombie ~ ~ ~ {Attributes:[{Name:"generic.entity_interaction_range",Base:0}]}
   

2. The zombie will still be able to hit you.
3. Conversely, if you set this value to something really high like 100, the zombie will still need to get up close before it attacks.