If you only add sulfuric acid to a calcium chloride solution, you will not precipitate anything. All you have after the addition of sulfuric acid is a dilute acid.
I don't think that you will be allowed to discharge an acidic solution. On the contrary, it would be less hazardous to just discharge the calcium chloride.
You can not precipitate calcium sulfate unless you have a basic solution. A basic solution is when the pH is above 10 units. To get a basic solution, you will have to add an alkali. Commonly used alkalis that are selected for this purpose are sodium hydroxide or lime (calcium hydroxide).
In summary, what the fellow recommended is to precipitate the calcium sulfate out of a sodium chloride solution. You would be left with the sodium chloride solution and some solid wastes.
Also, I did not say to dump the chlorides. What I said was that most sanitary WWTP would not be affected by calcium chlorides as long as the calcium chloride mixture is diluted into the wastewater. It is rare when discharges have wastewater dicharge limitations on TDS.
If you contract with a waste hauler who treats the wastewater before he discharges into the sanitary system, he is going to blend this into his other wastewater discharges and end up with a lower TDS.
Seawater has 19,000 mg/l of chlorides so if you have an ocean discharge, it should be no problem to discharge to the ocean. Ocean disposal would be preferable to dumping the calcium chlorides on the ground, wouldn't it?
Calcium chloride is commonly used in the northern climates as road salt, so it commonly enters the storm water systems in the cities and enters the wastewater treatment plants where there are combined sewer systems.
By the way, you haven't said if is there anything else in the calcium chloride soluton?