For each job, at what "range" (attack) did you begin to notice a big difference in killing time?

This applies specifically to bosses and obviously mages will be left out. But for everyone who has experience with a particular job that relies on range weapon attack what range number did you start to notice a big difference in how fast bosses were going down?

I have the most experience atm with my Hero so in general I noticed he started killing with a better speed when his range started going to 8000 (8K) and beyond. This was only achieved with MW20+Echo+Rage and pretty budget gear for the most part.

For those of you with experiences with other jobs what do you think is a good range threshold for each of the jobs to do "respectable" damage? It might give people new to those jobs something to shoot for (including me who is clueless on stuff like Corsair range).

EDIT: This is the number I mean when I talk about posting your range: (just make sure you mention the job too)