This claim is false, and after reading through the sources provided, it seems like a typical case of people creating scientific-sounding articles and people buying into them. You can cherry-pick articles and find anything to support your side, no matter how bizarre it sounds. I looked at an article from the NOAA, which is a credible and scientific source. In this article, I found that during the climb out of our past ice ages, the climate did get warmer, but from the 1800's to today, the increase in temperature is 70% larger than the increase that occurred during those past ice ages. So, for the people who say that we are not getting warmer based on human CO2 emissions and that it is natural, are wrong because we are warming at a rate that is unheard of in our history. I also read from the NASA website that "current warming is occurring roughly 10 times faster than the average rate of warming after an ice age"(NASA). So, from scientific and reliable sources, it is said that we are warming at a rate that is way above the amount that is expected for after an ice age, and the only difference is the fact that humans are around now and are burning fossil fuels. We can measure temperature fluctuations through things like tree rings and lake sediments, which tell us that we are the warmest the planet has been in a long time. According to the BBC article, it tells us that tree rings and polar ice can record the changes occurring in our atmosphere, meaning that we can see that the carbon from burning fossil fuels has a distinct chemical signature that these environmental recordings pick up on, showing us that we are contributing to climate change. Also, it is interesting to note that we have run climate models to see what the world would be like without the greenhouse gases humans emit, and they show that we would not be seeing the change and warming we are now without those human-emitted gases.
Sources:
https://www.climate.gov/news-features/climate-qa/how-do-we-know-build-carbon-dioxide-atmosphere-caused-humans
https://science.nasa.gov/climate-change/evidence/
https://www.bbc.com/news/science-environment-58954530