Your claim that Air Fryers can cause cancer is not false, but misleading. Your main source itself concludes that it is the non-stick coating featured in some models of appliances that pose the risk. They quote Dr. Dimple Jangda who claims “‘Air fryers are mostly coated with this non-stick coating that releases toxic fumes when it is heated up”’ these fumes are labeled as “possible carcinogens". Based on your own source, claiming that air fryers cause cancer is misleading as the real risks are situational and not absolute. The article you cite is mainly supported by the claims of Dr. Dimple Jangda, while she does have history in the field of Gut Health with Honorary doctorates from National American University and the Thames International University, her career seems mainly centered around a popular online presence. It is ultimately difficult to find her credentials for research aside from internet user praise, so I would suggest finding more sources to support a claim rather than just hers.
Based on your source, avoiding air fryers with non-stick trays will help you evade the risk of cancer. According to the National Capitol Poison Center or Poison Control which is a nationally accredited public health center, “air-frying equipment is not known to cause cancer”. However it is found that while airfrying food the formation of the compound acrylamide is possible. Acrymalide is suspected to be a carcinogen in some forms, but the formation of it is not limited to air fryers. Many foods and the temperatures at which they are cooked create the same compound. For example, Acrylamide formation is responsible for the appearance, taste, and crunch of toast. Ultimately, it is not false to claim that air fryers may be linked to cancer, but it is misleading as the risks are not unique to air fryers but to non-stick appliances and high-temperatures used in general cooking.