Jona - distance does affect damage by quite a lot, its one of the benefits of higher powerdraw is the damage drops slighly slower on longer shots. Better to test with about 50 meters range.
Also, your character has slightly below average hitpoints (61) based on the new levelling system (what are you 18-27, 18-30, either way pretty high agility build) - test with around 65-70. otherwise consider that with 10 athletics you are probably running him down on NA1 before he can even finish a second shot on you and you are hitting him with a melee weapon.
He was using +3 highest tier bows with +3 bodkins so we are talking maxed out looms and maxed out equipment for shooting your below average health character. Do a test with unloomed horn bow and unloomed non-bodkin arrows, which also received nerfs to damage (don't even need to bother with tatar bow and below they wont even hurt your character in any of those armors anymore).
Test those and you will understand why so many archers are upset that our class is doing somewhere between 2/3rds and half the damage of pre-patch against people wearing now heavier armor and having more ironflesh while being stuck with even less ammo and being more easily run down by people with incredibly high athletics. Archery didn't need a damage nerf, not by a long shot - 1 more powerdraw was not going to make the class unbalanced, but cutting damage dramatically across the board certainly annihilated the class.
Noticed you are also an item advisor so please take into consideration we are not asking to be OP, we are simply asking to do more damage than a guy with 3 powerstrike and an unloomed practice sword does and to make all bows viable like they were before the patch not forcing us all to use the highest tier bows and only fully loomed gear to do below-average damage compared to every other class.