You are correct.. My only disagreement is that 1) there are living corals in the tank. 2) sounds like op is blindly dosing by hand(not spread out) likely having precipitation events. 3)if he were to do w/c while master testing, he would see the demand(drop) everyday between water changes. Once testing is consistent enough to recognize that daily drop, he can start experimenting with dosing small amounts and seeing the results in his tests. Its not hard at all but consistent testing results are a baseline. Like I said you are not wrong at all, but why not do a some water changes to get everything back in line and more testing practice?What better time to start practicing dosing and testing now, before you invest in corals?
You will need to test regardless of whether you supply alk via water changes vs alkalinity solutions.
There are also very easy calculators to find the exact dosing amounts per system gallons: https://www.bulkreefsupply.com/reef-calculator/alkalinity-calculator-reef
Testing and dosing is not as difficult as you make it out to be IMO. I think measuring, mixing, and changing large volumes of water is MUCH more laborious.
Of course, it’s the OP’s decision at the end, But let’s not make him feel powerless to testing and dosing. He can do it. He’s capable.