I'm sure a majority of archers players would dislike this accuracy decrease cooldown even more than the arrows weight.
Archers NEEDS to move all the time : decreasing their distance to targets when things are cool (to have a better chance to hit), increasing their distance from the targets when things gets hot (to avoid being killed); they BARELY never stop moving, otherwise they get focused by other ranged or cavalry/melee players try to get to them.
Also one major fun point of being archers is the capacity to have an attack that have a quasi infinite range, so you can attack (shoot) all the time. As long as you have arrows, targets, and confidence in your aiming. If you had to WAIT (not attack) everytime you want to shoot one arrow, just because you needed to run to/away from a situation, it would be an even greater hit to the gameplay of ranged.
You would have to be a kind of "static" tower of shooting to aim precisely, or stick to being mobile but not able to shoot as soon as you're ready. Would need to anticipate and choose really good position of firing. Not necessarily a bad thing, but the cRPG battlefield moves VERY VERY fast, archers need a way to stay handy and able to run.