To add to Randy's note about both high pH and higher alkalinity (possibly) accelerating coral growth - this is actually what I was trying to explain in one of the first posts on this thread. It is possible (though not definitive) that the effect of higher pH and higher alkalinity on coral growth (i.e., accelerating it) is just two sides of the same coin.
Specifically, if one surmises that coral growth is related to the availability of the carbonate ion (CO3^-2), a higher pH would mean that the equilibrium of carbonic acid/bicarbonate ion/carbonate ion would shifted to the form of the carbonate ion (instead of bicarbonate ion and/or carbonic acid, free CO2). That means that the molar concentration of the carbonate ion in the water is higher at a higher pH, even though the total alkalinity is precisely the same.
Alternatively, it's possible to have a higher molar concentration of the carbonate ion if the total alkalinity in the system is increased, even though the pH remains the same.
One reefer's caution (as opposed to a theoretical chemistry/biology discussion) about messing with one's water chemistry in this regard. If you have substantial quantities of sensitive SPS such as acropora in your tank, be extremely cautious about making substantial changes to your water's average alkalinity. There are two reasons for this - one is that sensitive SPS species don't tolerate rapid changes in alkalinity, and the second is what Randy posted earlier in the thread - if you're running an overall higher alkalinity, you are very likely to have to run higher levels of dissolved inorganic nutrients in the form of nitrates and phosphates. Those that have run ultra low nutrient systems (ULNS) whether intentionally or otherwise over the last 10 to 15 years have experienced coral loss of color and/or outright bleaching from the combination of high alkalinity (>8 dKH) and low nutrients (< 5 ppm NO3, <100 ppb PO4).
If you choose to experiment with your system and you have SPS, particularly acropora species, I wouldn't change the average alkalinity by more than 1 dKH unit per week, and I wouldn't deviate more than 2 dKH from the typical 8 dKH that most folks keep SPS tanks at. And while I was evaluating these changes, I'd keep a close eye on dissolved inorganic nitrate and phosphate and on the appearance of your SPS. If their colors start to fade, I'd increase your feeding of the fish and corals in your tank, and slowly allow the alkalinity to fall by reduction in 2-part dosing (or backing off on the output of a calcium reactor if that's your chosen method).