I would prefer to limit the discussion by the fields of classical (not quantum) physics as well as chemistry. I wonder if the concepts of «emergence» and «emergent properties» bring anything new into these fields (sounds a wee bit stupid, but bear with me for a moment).
On one hand, it is only too easy to come up with rather convincing illustrations, for example, the system of two stars orbiting their centre of mass obviously possesses new qualities compare with the same two stars taken separately. Similarly, the properties of solution of two or more chemicals may be qualitatively different from those of its constituents.
However, using vernacular of physicists and chemists, one may say that the new properties of these two examples are nothing else but manifestations of interaction (not necessarily one conveyed by electromagnetic or gravitational force, the interaction between solution constituents is an interaction in broader sense of word). Moreover, one may be tempted to say that interaction and interacting systems are the primary subjects of study in physics and chemistry, because everything interacts in this or that way with everything around. Of course, in practice, we can consider some systems to be isolated in some sense. But is there anything emergent about such systems? So, if interaction necessarily implies emergence, then the latter notion becomes of secondary importance because all non-trivial properties resulted of interaction of any kind should be considered to be emergent.
I am not trying to be casuistic and I very much understand that in reality the concept of emergence has rather serious explanatory potential and, being such, can come in handy in studying behaviour of many systems including physico-chemical ones. But I feel confused when reading something like «emergent properties are absolutely fundamental», because this notion seems to be a mere corollary, an ancillary concept to that of interaction. That makes me wondering if emergence has any philosophical meaning when applied to the said disciplines (that being said, it seems to be useful in, say, biology or psychology, because in many cases it is not that easy to define the meaning for the term «interaction» in these field). Is there a fallacy in my line of thoughts?