In such systems, all the parts are interrelated, connected in most or all of the ways of which the system is capable - for humans, see, hear, feel, smell, touch. You can't just remove one species of plant or animal or insect, or introduce a new one, without unpredictable, and sometimes catastrophic, effects. An important aspect of such systems is that even if we know everything about it there is to know, we still cannot model it and predict the outcome of purturbations to the system. It is not even theoretically predictable. Let's examine our economic system, and see if it is machine or ecosystem.
Machines are simple.
They are built by humans according to blueprints that a large number of people can understand. You can take a machine apart, and study the parts to understand it better. You can put it back together, with all its original parts connected properly, and it will work every time. A machine has only very limited connectivity among its parts, and none of it is either continuous or broadband. Now let's examine the economy, to see how it compares.