Two issues here, A) if it's not wrong and you're not keeping salinity level and it continuously decreases, then you risk reaching hypo salinity and getting too low a salt value for your corals (I don't know what livestock you have) but there's a point even fish won't tolerate... So, you could trigger a cycle by doing nothing.
B) If it is wrong and you do continue topping off with saltwater, yes, You could be doing massive damage by having a .003 swing in SG everyday. My corals get mad at me if I raise their salinity by .001. lol.
I've kept my salinity stable with top offs, spills, leaks, ATO not functioning, and more at 1.024 to 1.025 for 4 months. I make up for spills / overflows (skimmer, ATS leaked 1 drip at a time for a week until I realized the floor was soaked and where it was coming from...)
I don't know how you could be having a .003 swing a day. You have to be losing SALTwater somewhere. Not just evaporation. Is the tank leaking, is somewhere obscure? Sump leaking somewhere obscure. But even that it would have to be multiple gallons.
How much water is in your ATO? Do you just use a 5 gallon bucket or a lot of ATO water? The alternative is to put your ATO on a digital timer. (I do this and it's already saved me a huge issue once...) So it only comes on certain times of the day when I'm usually home...