. Some of the Warlord's abilities are necessarily going to involve precise distance
Any class that cast spells or can use ranged weapons is going to involve precise distances, that's just 5e, and, obviously, every class.
But, in concept, a lot of warlording consists of interaction with allies - inspiration, tactical coordination, warnings, &c ' - which might not suggest
precise distance as a limiting factor.
You keep referencing other 5e mechanics, like AoE spells, or Bardic Inspiration, but none of those happen every turn.
The Paladin's aura is there every turn, for just one example.
Some of the abilities can be simple LoS, or earshot, or there could be less variation in the distances involved.
Certainly. Though it's important to keep in mind that 5e has different design principles, it's worth noting that, in 4e the Warlord's signature build (sub-class) feature used LoS or earshot, and, in general range/area were not as granular/varied, neither in distance, nor shape, for that matter.
Also, doesn't seem to have much bearing the relative merits of extant 5e classes as a design-template 'chassis.'