And you're wrong. Chances are that you don't have a power draw skill four points above the warbows requirements, making the lower power draw requirement longbow more powerful and accurate. It's more likely that the increased accuracy you'd get with the longbow makes you feel like you can hit targets further away. And keep in mind that switching between the different bows can often throw you off, the different trajectories take a while to get used to, I can hit a target very far away with a hunting bow, but when I switch to something more powerful it takes me a while to get used to the arc of the arrow and I tend to miss a lot until I acclimatise.
If you look closely at the description of power draw you'll notice that it adds to the bows stats (both it's damage and it's accuracy, although the accuracy is not stated in the text) for "up to four points above the bows power draw requirement". This means that a hunting bow (with a PD requirement of 0) will increase in power up to power draw four, but have no increase for a power draw value of five, six or higher.
As thus, if you do the math you'll notice that the strong hunting bow is actually the best bow at the start of the game, as power draw increases it's damage over the other bows, but once you get to higher values it becomes obsolete.
Another effect of this is, despite what everyone here has suggested so far, the master work war bow is infact not the best bow in the game. With a power draw requirement of 8 the best it can have is a power draw bonus of two, making it's damage and accuracy values fall far below that of the strong warbow with a power draw requirement of 6. Although with a power draw skill of six the normal warbow is much stronger as the small damage increase is smaller than the two times fourteen percent increase from the power draw bonus from using a PD 4 bow. It's been a while since I've checked the values, so it's possible they've shifted a bit in the last version, but I'm fairly certain this all still holds true.
In short, mathematically, the best bow in the game for range, power and accuracy is the strong war bow at a power draw skill of ten.