So bear with me….. With any medicines, there are usually two names. One is the generic – and this is basically the name of the drug itself. The other is the trade name – this is the name given to the drug by the drug company. Analogy: think about cornflakes. ‘Cornflakes’ is the generic name for cornflakes. But Kellog’s Crunchy nut , Nature’s path cornflakes , Kashi’s cornflakes – these underlined names are the trade names (because it depends on the company who manufactures them). But ultimately the active ingredient is the same – cornflakes. With creams, it is usually easier to look at the trade names because they are shorter but sometimes it is helpful to know what the active ingredient is. Because that is often what is found online although you can now find many trade names online too. One tip if you are looking at the generic is you should look at the WHOLE name and not just the first bit.
A common mistake is to be too cautious about topical steroids. Some parents undertreat their children's eczema because of an unfounded fear of topical steroids. They may not apply the steroid as often as prescribed, or at the strength needed to clear the flare-up. This may actually lead to using more steroid in the long term, as the inflamed skin may never completely clear. So, you may end up applying a topical steroid on and off (perhaps every few days) for quite some time. The child may be distressed or uncomfortable for this period if the inflammation does not clear properly. A flare-up is more likely to clear fully if topical steroids are used correctly.
EDIT: I did a little bit more research, so I'm telling you what I know now. Dr. Aron published a scientific article , which states that a specific strain of staph bacteria , which, according to his observations, is present in ~90% of AD sufferers, produces a toxin that causes your white blood cells (the fighters of your immune system) to trigger a response that pits your immune system against yourself - and thus triggers flare-ups (tl;dr'd that article for you). This reasoning would explain why he puts an antibiotic in the creme and steroid mix: to rid of this bacteria, which would explain why many people in the case studies have quick success.