It is an essential oil (at least that's what they imply). So, it must kill by smothering them, and maybe some of what's "in" it. Right?
Now, your putting an "oil" on your plant. They make claims that I simply don't agree with.
Oil DOES leave a "residue".
If this 'essential" oil contains Thyme, Rosemary or another "herbal". It WILL leave a smell or "flavor". No matter how small, it will be there.
What if you "miss" a few or a few eggs? They will come back! They CAN build a tolerance to it.
Read up on FORBID 4F. Kills all stages of the mites growth, even the eggs! NOT systemic (it does not travel through out the plant). Does NOT lead to a "tolerance" problem.
Simple light misting on the leaf surfaces do the job.
Small, affordable amounts available on Ebay..
I know, not listed as organic.
I grow organic for 85+% of my grows. Sometimes you just have to pull up your pants, take a deep breath, and do what you must to END an infestation.
The choice is yours. Fight battle after battle,,,,,or end the war in one attack.
The choice is yours!
Good luck
Doc.