Water is a difficult (and important) topic. From my understanding, the 'purpose' of ionization is some antioxidant benefit and some alkalizing benefit. Both of these can be enjoyed inexpensively and naturally in mineral-rich liquids (and whole foods).
Depending upon what you are eating/drinking now, it could provide benefits. But, from what I've read, it doesn't provide a host of minerals or microminerals, such as herbal infusions, good ole' tea, juice, fruits, veggies, bone broth, smoothies, greens, liquid probiotics, nuts, fish, black strap molasses, seeds, herbs, spices, mushrooms, etc. provide.
Plus, it doesn't provide the amino acids, phytochemicals, and other whole food vitamin benefits, either. If you just want more minerals, especially magnesium, a small pinch of regular ole' cheap Epsom salt and a tiny pinch of sea salt in your water provides much more complete nutrients for the body to alkalize, naturally.
The whole processing is another issue, if it comes in a plastic bottle, especially. Or if you have to pay to purchase and install and maintain an ionizer, it is just more cost efficient to add a pinch of magnesium sulfate and sea salt to your water source.
If you are using distilled or reverse osmosis water, the ionizer doesn't work. When a source of water lacks mineral ions, such as distilled water, or has been filtered by reverse osmosis, electrolysis has no ionizing effect. If you are drinking city water---stop!
But, ionizing doesn't make city water healthy, because city water is so unhealthy with medications, chemicals, fluoride, chlorine, etc. Here is more about Toxic Water
We have well water. And we have reverse osmosis. My concern with the well water is that our 25-year old copper pipes leach into the water (green ring at sink drain). My concern with the RO system is that they have BPA in the tank bladder. So, for cooking I use the tap and for drinking I use the RO + my pinch of Epsom salts and sea salts. Sea salt minerals are a huge key to health, imo.
Also, I purchase a case of high mineral water in glass bottles from Costco and use one or two bottles a week for making water kefir or to drink directly.
For alkalizing, I just squeeze some lemon in my water occasionally too. When out and about, I'll drink a glass of wine. Wine has vitamins and minerals and is probably healthier than city water! Or I order bottled water. It is best not to drink liquids with meals anyway. And I carry my own reusable bottle with RO water and my pinches (mag and salt), when running around.