I want to buy this small studio to shoot cosmetics online, is that ok?

You don't need a studio. A photographer friend of mine told me that the most important thing in photography is light. As long as there is enough light, buy more shadowless lamps and take photos from all angles, so that even with ordinary home digital cameras, you can take quite perfect photos. Anyway, the product photos are not very demanding, as long as they are clear and bright.