You’re equivocating different types of “climate change”.
Today’s climate change is anthropogenic climate change. The natural background variables aren’t changing much at all. Without our input, there would be relatively little change currently. Instead, the CO2 released is changing the climate more rapidly than at any time in thousands of years, and the CO2 is increasing to levels not seen in millions of years.
Past climate changes were from natural variables, such as gradual shifts in the Earth’s axial tilt and orbital eccentricity (these begin and end “ice ages”). The sun used to be a little cooler too. Continents were in different positions, which meant that ocean currents circulated in different patterns. All these things affected the climate.
These ancient changes in the climate weren’t “bad”. We can’t assign “badness” to them, since they were natural, and there were no moral actors responsible for them. They just happened.
We wouldn’t be where we are today without the conditions of the past.
We also wouldn’t be where we are today without the relatively stable and clement climate of the last few thousand years, in which human civilisation has flourushed.
The change in the climate which we are inducing, not only adversely affects biodiversity and ecosystems, but poses an existential risk to our civilisation itself. That is bad.
Anthropogenic climate change is currently bad. There may be some situations in the distant future whereby artificially changing the climate could be good, perhaps if the Earth were returning to a glacial period—this is not going to happen for thousands of years. For the forseeable future, not having anthropgenic climate change would be good.
See how easily your question is resolved when correctly prefixing anthropogenic to “climate change”?