Oregon - no, it won't keep it "always" at 14.4. I never had a controller that basic :), but I think this is a On-Off charger, not 3-stage charger. Here is the
manual.
Probably similar to that no-name gizmo that came with your kit, only it will work. Voltage will be rising from 13.xx to 14.4, and then it shuts down. There is no one-hour stage #2 at 14.4V called Absorption, and there is no stage #3 called Float.
If you want a brand name 3-stage, you have to pay upwards of $80 for either MS, or Xantrex, or Steka, or other PWM chargers.
Some 3-stage chargers may have setpoints not adjustable, ex. Bulk 14.4 when your batts prefer 14.6.
Check
Trace/Xantrex C12 maybe. Though you have to buy an optional remote temp-comp sensor - a good thing, better than on-board, but it costs another $20 and it looks like there is no on-board temp-comp there, so you HAVE to buy a remote sensor.
Westend is right, controller should be close to batts for the reasons of correct temperature measuring (when temperature sensor is on-board, not on-battery), and to prevent energy losses in cable too long. Your 15ft cable might be TAD long, so you can cut it shorter later if a shorter length still works for your setup, but this isn't terribly important at this low current.