There are not only SbS or French door refrigerators with ice cube function, but also freezers or fridge/freezer combos (Liebherr) that have an automatic ice maker in the freezer compartment, of course with a fixed water connection. That has been enough for me for almost 16 years now; I take cold water from the kitchen faucet.
If you already indulge in this, then really with a fixed water connection, because otherwise the water tank is always empty when you don’t need it ;). I also had a separate water connection installed as close to the refrigerator as possible.
Ice cubes are not only for drinks, but also very valuable when, for example, you want to quickly cool down blanched vegetables to preserve their color.