Aromatherapy is said to restore or enhance mental, emotional, physical or spiritual health. Such claims are essentially non-testable. They are part of New Age mythology and can't really engender any meaningful discussion or debate. When aromatherapists get into professional debates about empirical matters it is generally over such matters as whether natural oils are superior to synthetic ones, though even here references to scientific studies of the issue are sought in vain. In her book, Aromatherapy, she gives some botanical and historical information about the plant, including a claim by Matthiole, a 16th century botanist, that lavender is a panacea which can cure epilepsy, apoplexy and mental problems.
Lavender also contains a high percentage of phenol, a strong antiseptic and antibiotic.
She also notes that while many essential oils are very toxic, lavender is one of the least toxic of all oils. Nowhere does she give any indication that anyone anywhere has done any control studies with lavender to test any of these claims. And 'most associated' with burns doesn't actually say that it will do any good for burns. Still, I think these claims can be made precise enough to test, though I doubt if Ryman or most other aromatherapists have any interest in doing such tests. For some reason, Ryman doesn't say much about lavender's use to reduce stress in her chapter on lavender.