This is a very simple fix that works in Matlab v2019:
% adjust ticklabels away from axes
a=gca;
a.XRuler.TickLabelGapOffset = -8; % negative numbers move the ticklabels down (positive -> up)
a.YRuler.TickLabelGapOffset = -8; % negative numbers move the ticklabels right (negative -> left)
Credit for this solution here:
https://stackoverflow.com/questions/16642404/set-the-position-of-the-xtick-labels-matlab
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