That's a good starting point for a paper. Now you just need to collect the necessary data that shows that current climate change can be explained by natural cycles. People have tried to do that, and, as the scientific consensus shows, did not succeed.

Natural climate changes at a very slow rate that to the people experiencing it, it barely changes at all. However man-made climate change indicates a rate that will be noticeable in a human lifetime.

It is fair to simply say "climate change" to mean "the rapid climate change that we are experiencing". There is no need to add the "man-made" distinction other than to please people being overly literal.

Natural climate changes are actually much faster and larger in magnitude. A recent example is the younger dryas, where temps went down about 5°C in decades and a thousand years later did the reverse.

Further back in time we don't have the resolution to see such small spikes like what we have now.