That map clearly shows that only a few locations are experiencing a fall, so neither "plenty" nor summing to zero as claimed. But I'm interested to learn more about the evidence that the pre-industrial trend was the same, since my inexpert googling suggests otherwise, eg "Exceptionally stable preindustrial sea level inferred from the western Mediterranean Sea"

https://www.science.org/doi/10.1126/sciadv.abm6185