I should probably say... I definitely feed my LPS. It is a well fed tank, but I try to keep the nitrates as low as possible. I don't have any real schedule for feeding the corals, but when I'm feeding frozen (Mysis or Rod's), if the fish don't seem hungry, I spot feed the left overs to the Duncan and Acans. That probably happens once a week, at the most. I feed the fish directly over the Lobo (with pumps off), so it gets whatever the fish don't eat. I used to feed the Platygyra, but stopped several years ago. It didn't seem to care, as it's on its way to taking over that rock.
So yeah... spot feeding of the LPS can never hurt. But I wouldn't go about trying to get poorer quality water.
I don't have any experience with those Ecoexotic strips, but I know when I was researching what LEDs to get I looked at them. It didn't seem like they really had the oomph to even do LPS at any depth of the tank. That and the lack of a broader spectrum made me rule those out early. I wonder if you just don't have enough light with those. You might have enough to keep them just barely hanging on, but not enough for them to thrive. Do you have access to a PAR meter, or have you talked to anyone else that runs those lights?