You can question the possible impact on animals, but there's no question at all about ionic imbalance taking place.
Yes, sodium chloride is sodium chloride, but seawater is not sodium chloride, so when sodium chloride is continually added and the other things (notably sulfate, the third most abundant ion in seawater by weight) is not added, the water will look less and less like seawater and more and more like sodium chloride over time.
The easiest way to accomplish balance is to use additives that add a balanced amount of different ions, and not just sodium and chloride. Commercial two part systems, Balling, and limewater/kalkwasser all accomplish that (as do otehr additives, like magneisum additives with an appropriate balance of sulfate and chlorid ein them), but simple use of sodium bicarbonate/carbonate/hydroxide and calcium chloride does not.
I would also add that it is not typically more expensive to recognize the chloride sulfate issue and use appropriate additives than to ignore it altogether. Magnesium sulfate as an additive, for example, is probably no more expensive than is magnesium chloride. It may even be cheaper since you can get USP grade Epsom salt from a drug store.