What is metaphysics? I think that metaphysics, whatever meaning you give to it, has the defect of being bound to being: in certain contexts it is almost a synonim of ontology. The consequence of being bound to being is that it ignores time and subjectivity. Along history metaphysics was criticized by historicists, because, by trying to understand how things are, it looses sight of the fact that things, rather than being, are becoming (Heraclitus). As a consequence, about any metaphysical system of ideas, we should never forget that it is itself conditioned by its own being immersed in the flowing of becoming, changing.
The problem raised by subjectivity is similar, because the fact that anything we think of is conditioned by our subjectivity makes our thoughts dependent on the variability, unreliability of subjectivity.
In other words, the defect of metaphysics is its intention to reach a system of ideas that is expected to be stable, definitive, ultimate, objective, reliable, solid.
We can mean metaphysics in a more flexible and humble perspective, but in this case it seems to me that what we are doing is not philosophy, but science. When science makes its hypotheses, it doesn’t build them with the intention of reaching an end to research. On the contrary, science makes hypotheses as simple intruments to acquire better and better knowledge of the world, without any intention to stop.
So, I would say: if you suppose, for example, that the moon is a planet, just to see how this idea works in comparison to the results coming from observation through technical instruments, then “the moon is a planet” is a scientific hypothesis, which means, there is no intention to make it the ultimate, fundamental system of ideas about the moon.
If you say “the moon is a planet” with the intention to build an assertion that should resist to any criticism, any objection, any doubt, so that, if different conclusions come from observation, we should think that most probably observation is wrong, then you are trying to build metaphysics.
If we think that 2+2=4 is an eternal truth, indesctructible, unassailable, impossible to question, then you are thinking of it in a metaphysical way. As such, this kind of thought has the defect that not only tomorrow 2+2 might give a different result, but also our thoughts about it might change, because ideas are subject to time, change, becoming, as well as anything else.
This way, any attempt to build a system of ideas, with the intention to reach something stable, is metaphysics. So, even when I say that everything is subject to change, if I treat this assertion as a stable and permanent theory, I am doing metaphysics as well.