The short answer as already provided is yes plant production will push pH higher when the plants are illuminated/growing. I've had pH go higher than 8.6 in a brightly lit tank with plants, even with lots of in-tank circulation and surface disturbance. On the other hand, if this is new tank with a lot of raw live rock rotting in it, bacterial action will tend to pull pH the other way. So will a high fish load.
A better way to determine equilibrium pH is to take water out of the system, put it in a bucket, vigorously aerate it for 24 hours and then test it. If the pH is still less than 8.0, I think you are closer to showing that high room CO2 is your issue. Another consideration is the pH test method. An electronic pH tester is a good investment here, IMO, and is much more accurate and reliable than hobby pH test kits, IMO/IME. If you don't want to invest in a electronic tester, you can take freshly collected water to a LFS that has one.
The dynamics here are tricky, and not knowing your system or its nutrient parameters make it hard to recommend a solution. Your total alkalinity is high enough, I would on no account push it higher by additional carbonate buffering. On the other hand, your pH is stable but unacceptably low. Trying to ammend the pH solely by pushing plant production may raise the pH, but it could also make the pH swing wildly through the day with even lower minimum values, which is worse. Having 2 tanks in the same system and illuminating them alternately is one means of pushing higher overall O2 and pH levels.
IMO, pH problems should be corrected mainly by improving gas exchange. Having a sump/OF arrangement is the typical means of forcing higher gas exchange as entraining air in falling water is a great gas stripping method. However, if your ambient CO2 levels are the source of your low pH, that may do nothing. In that case, I think your best option is to have 2 tanks and illuminate them alternately. Good luck.