Yes, but if all the tank water is low on kH you're probably not adding enough to make a difference, and particularly a long term difference as it will all be chewed out.
What we don't know here is the kH, and frankly without it we're purely guessing. However it's a fair bet that it's all been used up and so increasing organics in the water are starting to drive down pH. These organics are humic acids and so, that won't skim out very easily, nor will they enter the nitrogen cycle very quickly either. They are somewhat harmless in effect to fish, but they do affect water chemistry.
Fixes for this are water changes with substrate hoovering (to sort out organic loads in the tank), and buffering. I use Kent super buffer and it's alright, I dissolve it into my topup water, maybe a teaspoon into a litre of water.
There might be something else happening, but without knowing the setup, kH, water changes and so on this is where I would start. Does the house have full air con, are the windows ever open?
Note that a pH of 8 or even 8.2 is low by seawter changes, and the range 8.2 to 8.6 is one to shoot for. You won't get your pH up that high buffering alk, you'll need to drip kalk to do that. You'll find at the very low pH's this tank has, you're just waiting for the slime algae attack from hell, and it will be fast too. Once you get your pH up higher you'll almost certainly lose your slime algae and you'll probably inhibit hair algae grwoth too.
Crush coral , if it's largely calcite will NOT dissolve in water with a pH greater than 7.2 (I think) so won't help the pH, and aragonite based coral sand will only do so much at these higher pH's