Reasons for not using resistors:
1. Constant current sources are way more efficient and thus generate less heat and take less power. This means you don't have to worry about finding high wattage resistors or buying a bigger DC power supply.
2. With a resistor any change in supply voltage will cause a change in current to the LEDs. LED light output is determined by current. Take a look at the
datasheet on page 11. You can see how LED current and Luminous Flux (light output) go together. With a proper LED power supply small changes in voltage do not effect the current output.
3. If you overdrive an LED, which is easy to do with a resistor as there is no protection, you could change it's light output permantely. Even a power surge from unplugging or plugging in your DC supply could cause this.
4. Most LED power supplies shouldn't suffer from the "slow-off" problem that you get when powering LEDs from a standard wall-wart supply and resistors. That is- you unplug the wall-wart the LED slowly dims off because it's draining capacitors.
Also it's important to note that light output does change with LEDs depending on temperature as well (pg 9 of Datasheet). So that's something to consider too. The best way to handle that would be to make sure you have plently of heatsinking and cooling on the LEDs, that way the LEDs don't heat up much over the course of an exposure. You could also leave the LEDs on until they reach their operating temperature and leave them on the entire printing session, using a shutter of some sort to time exposures.
One of the best things about LEDs though is that you get instanenous light- no ramp-up time like you get with bulbs. So even exposing film at say 1/125 could be possible with a proper timer.