If the alcohol changes the taste, then it is deemed haram. There will always be maybe a tiny bit of alcohol in everything. We produce alcohol, does that mean we are accountable for it? No. Allah put this feature within us to send us an example.
I can't seem to find a hadeeth on this subject. Here is an Islamic scholar's words for this subject.
Ibn ʻUthaymeen may Allaah have mercy upon him was once asked about the so called (non-alcoholic) beer, given that some brands of non-alcoholic beer have a percentage of alcohol. The following was part of his reply: “As to percentage, do not think that any percentage of alcohol in a thing makes it unlawful; rather if the percentage of alcohol has an effect whereby when a person drinks this mix, he becomes intoxicated, then it is unlawful. But if the percentage is very small without effect, then it is lawful. For example, a percentage such as 1%, 2% or 3% does not make the beverage unlawful. Some people misunderstood the hadeeth that states, 'Whatever intoxicates in large quantities, then a small quantity of it is forbidden,' to mean that if a small percentage of an intoxicant is mixed with a large amount of a substance that is not intoxicating, then it is unlawful. This is a misunderstanding of the hadeeth. 'Whatever intoxicates in large quantities, a little of it is unlawful' means that if a lot of something will cause intoxication, and a little of it will not cause intoxication, then a lot or a little are both unlawful, because you may drink a little that does not cause intoxication, then you may be tempted to drink more and become intoxicated. But if something is mixed with alcohol, while the alcohol content is a minute amount and does not have any effect, then it is lawful and does not come under the ruling of this Hadeeth.”
Allah knows best. Have a good day.