The OP question is fairly hazy, so below is just my best effort to make some sense of it.
A natural dynamic system that is able to exhibit both chaotic (i.e. non-periodic bounded motion) and ordered (e.g. periodic) motion can in principle transit between those two types of motion over time. When modeling a dynamical systems there will be a set of state variables that change over time and a set of parameters that is assumed to remain fixed over time for the given model. When such a model exhibit chaotic motion it usually only does so in some parts of the parameter space, with non-chaotic motion elsewhere. This means there is a transition path from non-chaotic to chaotic motion as the parameters vary. A classical example of this is the
Logistic map which has a bifurcation route to chaos when the single parameter is varied towards 4.
With this in mind, it is not hard to imagine that a set of natural dynamical systems can be coupled in ways that allow some of them to show chaotic motion or not based on the state of other dynamical systems. For example, in the Logistic map the state can model population size with the parameter modeling the combined reproduction and mortality rates, which in nature is known not to be fixed but also be "determined" by other dynamical processes (e.g. amount of food, amount of predators, and so on). Another example of a "mixed mode" natural system could be the weather system, that, while considered a chaotic system on a global scale over longer time, can exhibit local non-chaotic motion over shorter times.
It is also worth noting that in chaos theory a chaotic system really means something
very specific whereas the public perception of the concept seems to hinge mostly on just being sensitive on initial condition. Since sensitivity to initial conditions translates to predictability, the "amount of predictability" in nature can also be though of as a good indicator of chaos in the parts we are looking at. For local parts or at certain times where things can be predicted over longer periods we tend to consider that local part of the system non-chaos-like even if may very well be part of an overall globally chaotic system.
I am not sure it makes much sense to talk about "err on the side of caution" in this context, but, one could say that given that at least one natural dynamical system is considered chaotic and most natural systems are coupled to some degree, then nature is effectively a chaotic system. Or in short, "order + order = order", but "chaos + order = chaos".