One thing that encourages us to continue to use water filters is, of course the initial quality of the water and what medium this water is run through before it gets to our home.
Some pipes are copper, some are plastic, some are iron and some are fibrous. All these pipes leach some of their substance into the water that is going through them.
I use a reverse osmosis system which has a series of “food grade” filters including activated carbon before the reverse osmosis system and, unless you have used such a product, you would have no idea how much better the water tastes and effects your health.
Yes the system you picture is pretty terrible but the water quality in my town is so overloaded with chlorine, alum and fluoride that even the type you show is better than nothing