Yes and no. Yes, if you are going to the extent of injecting or adding CO2 into the water column, to increase the levels from what the atmospheric concentration is, then HOBs or bubblewands, anything that adds surface turbulence, will offgas the CO2 you went out of your way to add.
But no, using such filtration/water movement methods don't generally inhibit photosynthesis. As long as it remains a constant, it will probably match whatever the atmospheric CO2 concentration is consistently, therefore always having some CO2 available. If CO2 weren't present in the atmosphere, then terrestrial plants would not be able to photosynthesize, as they do in most places all throughout the world.