Nope. You presented a webpage with selectively chosen graphs – each presented in isolation – which is hardly a rebuttal.
And it's not just the Neukom paper[1] suggesting the late 20th century stands out (for the most recent decades, record-high temperatures are found simultaneously over almost the entire globe).
Another recent (2019) paper[2] suggests the 20th century, not unexpectedly, is unique during the common era: it has the largest global-mean warming trends over periods of at least 20 years.
Both studies show that the warmest period of the last 2,000 years was most likely in the 20th century. They also show that this was the case for more than 98 percent of the surface of the earth. This shows – once again – that modern climate change cannot be explained by random fluctuations, but by anthropogenic emissions of CO2 and other greenhouse gases.
What we didn’t know until now is that not only average global temperatures in the 20th century are higher than ever before in at least 2,000 years, but also that a warming period is now affecting the whole planet at the same time for the first time. And the speed of global warming has never been as high as it is today.
[1] Neukom, R., Steiger, Nathan, Gómez-Navarro, J. J., Wang, J., & Werner, J. P. (2019). No evidence for globally coherent warm and cold periods over the pre-industrial Common Era. Nature, DOI: 10.1038/s41586-019-1401-2
[2] PAGES 2k Consortium. (2019). Consistent multidecadal variability in global temperature reconstructions and simulations over the Common Era. Nature Geoscience, DOI: 10.1038/s41561-019-0400-0
Koch, A., Brierley, C., Maslin, M. M. & Lewis, S. L. Quat. Sci. Rev. 207, 13–36 (2019).
Schurer, A. P. et al. Nat. Geosci. 11, 220–221 (2018).
https://www.unibe.ch/news/media_news...index_eng.html
https://www.nature.com/articles/s41561-019-0428-1