Is the wikipedia article actually more accurate though?
https://www.healthline.com/health/tea-tree-oil-for-nail-fung...
"Results of a 1994 studyTrusted Source found pure tea tree oil was equally as effective as the antifungal clotrimazole (Desenex) in treating fungal toenail infections. Clotrimazole is available both over the counter (OTC) and by prescription."
Reading through the wikipedia article it seems they're conflating all use of essential oils and specifically the use of essential oils in aromatherapy treatment, which is what the linked article is about.
Also fair point on the cancer line but:
https://www.cancer.gov/about-cancer/causes-prevention/risk/d...
"In laboratory and animal studies, the presence of increased levels of exogenous antioxidants has been shown to prevent the types of free radical damage that have been associated with cancer development" -- which seems close to what they were saying. A bit overstated for something published to the public, but technically accurate.
Overall it seems like the dismissal is a bias of the idea of essential oils, not necessarily a comprehensive review of the literature.