The points will start going up as you go along, but it is real low. I have over 300 LDONs with my characters, and while my 57 chanter is getting 18 to 20 for normal and 25 plus for hard, I think I got around 10 the other day for my 46 clc.
Note that points always follow levels, on a recent LDON I got 18 as did someone else my level, someone higher got 20 and those a couple levels lower got 15 or 16.
I would disagree somewhat with Vovin about waiting on LDONs, while it is true that you won't get much in the way of points which limits the items you can purchase from LDON vendors, going earlier will give you shots at Augs & item drops.
All of my LDON characters have at least one LDON drop item, and they are generally superior to anything you will get at your level on your own - except through purchase at bazaar.
You also get exp (though not as much) and the charm point total is real low, which lets you attach the adv stone and get enhancements through wins. My chanter had maxed out BB wins before hitting level 45, but Vovin is correct in that total points were not real high.