Yes, at appropriate levels essential oils can have a degree of antimicrobial effect. There are some non preservatives, with claimed antimicrobial effects that are labelled as "Parfum or Fragrance" depending on which side ofthe pond you sit.
Now wether or not some of those materials have preservatives added, I'm not sure. Its quite probable that they do, as most extracts are water based and will grow bugs at the slightest provocation (Glycerin or Oil based extracts get around this by having very little free water.
Do the manufacturers know the full breakdown of the materials? I'd hope so, but experience tells me at times that they sometimes turn a blind eye to the fact that preservatives are present and treat them as "process aids" which don't need declaring. That in my opinion is not on, but it does happen.
Are these products microbially sound? Depends on many things. Free water content, and also pH. I've seen properly preservative free handwash on the market. The pH was 10, the same as soap, and therefore bug unfriendly, but I wouldn't recommend that as it was harsher on the skin than cheap soap.
My advice would be to ignore the fact that these products are "Preservative free", formulate stuff yourself with proper recognised preservatives, declare them, and make sure that the formula passes a standard challenge test
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