The AMV figure we show is from Zhang et al. (2019), Figure 2.  From that paper the caption states: "Observed AMV index and SST pattern associated with AMV derived from the Hadley Centre Sea Ice and Sea Surface Temperature data set (HADISST) data set (Rayner et al., 2003). (a) Observed AMV index, defined as the 10-year low-pass-filtered area-weighted average of residual SST anomalies over the North Atlantic (80°W to 0°E, 0-65°N). The residual SST anomaly at each grid point is computed by removing the local component regressed on the global mean SST anomaly."

The data your figure points to is: psl.noaa.gov/data/correlation/amon.us.long.data

This is based on the Kaplan SST reconstruction.  The figure we show has more ups and downs within the quasi-70-yr variations because it is using a 10-yr low-pass filtering as opposed to the 15-yr filtering applied in the Vecchi et al. major hurricanes figure or the 20-yr smoothing applied in your figure.

There are differences in the pre-1900 period (more of a peak in the hurricane reconstruction and the Kaplan-based AMO) but relatively small anomalies in the Zhang et al. AMV series.  This is the time period where there is likely to be the most uncertainty in the SST and hurricane reconstruction estimates.  For the 1900s onward the very low frequency behavior or all three series seems relatively consistent to me.