Jeremy, I don't think the 2 1/2 hour morning cycle is good for the tank. But that's just my opinion, no good science behind it but a credible scientific concern.
Corals are the ones who really NEED the light. Most corals need a good, strong, midday type light for 5 to 8 hours. It takes the zooxanthellae in the coral about an hour to get the chemistry of photosynthesis started inside the coral polyps. Then it will do 4 to 6 hours of photosynthesis and shut down. Having light for a longer time period will not allow for more photosynthesis. The ability is genetic and evolved over millions of years of being in tropical water with good strong (overhead sun) for 6 to 8 hours. It will not change just because the light is on longer. However, having the light on longer doesn't do any damage as long as the coral gets a daily night cycle. And longer photo period may allow for more pigment production.
I'd be concerned that the 2 1/2 hour morning cycle could cause issues with the zooxanthellae doing photosynthesis. It would get started and just as it's going along the lights go out way too soon. Does that have any effect on how well, or even if, the zooxanthellae can start up doing photosynthesis again in the evening. It is getting a good 8 1/2 hour rest period, so it may be perfectly OK. I just don't know.
I'd suggest getting a light fixture that can be dimmed so the morning cycle isn't even strong enough to get the photosynthesis cycle started. Think about the 12 hours plus that the sun is up in the tropics. But only from about 8 or 9am to 3 or 4pm is the sun overhead and bright enough in the water for photosynthesis to work. At dawn and dusk the sun is at such a steep angle that the light doesn't penetrate the water enough for photosynthesis. So do a dim morning lighting that may not confuse the zooxanthellae into starting a photosynthesis cycle.
BTW, I do a very slow 5 hour sunrise, 4 hours of stable midday light and then a very slow 6 hour sunset. The last hour or two of sunrise and the first hour or two of sunset are still very intense and I estimate I get 8 to 10 hours of light intense enough for photosynthesis. But my most favorite times to look at the tank are early morning and late evening when the light is very blue and the corals and anemones fluoresce like crazy!