Distillation vs. The Others
Introduction.
When it comes to water, purity is the word. and, distillation provides that purity.
Distillation vs. Filtration and Reverso Osmosis (RO) … Barrier Methods

Filters are simply a barrier placed in a high pressure water line – note: high-pressure … is your water delivered with high pressure?. Raw water is on one side under pressure. 'Filtered' water is on the other side. Barrier filters include reverse osmosis (R.O.), carbon filters, sand filters and ceramic filters.
Filters typically cannot consistently produce high-purity water over time.
All Filters deteriorate, as they do, the quality of water they produce also declines. This is why you need to change filters frequently. (Most consumers do not replace filters in a timely manner).
Filters can provide inconsistent results based on a number of factors including water temperature, quality of the raw water, chemicals in the water, age of the filter, bacteria, etc.
Filters do not kill biological contaminants. Filters cannot offer solid protection against biological contaminants.
Filters have a problem with bacteria creep. One of the most serious problems with filters is bacteria creep. This is when trapped bacteria actually grows and multiplies within the filter and can grow through the filter causing ruptures and bacterial contamination.
Filters can cause direct contamination. The filter is a barrier between the raw and filtered water. If this barrier fails for any reason, there will be direct contamination of the filtered water. In contrast, steam-distillation boils the water and has an air gap between the raw and pure water.
Effectiveness
Steam-Distillation is the only water treatment process that can provide true peace-of-mind. Filters, including reverse osmosis systems, are barriers, which "trap" the contaminants. Barriers can clog, deteriorate, and leak and seals can fail resulting in a drop of effectiveness over time. With these systems, you cannot be sure of the purity you are getting because you do not know where you are on their "deterioration curve".