Am I right in assuming those graphs were generated and saved on the “Graphs” page?
If you use a “Multigraph” instead they do have an auto update function. I use the graphs page for exploring data but use the multigraphs on my webpages for this same reason, So it would be good to see that feature rolled out to the “Graphs” module too.
Plus (as a side note) I prefer the buttons within the graph area to maximize the graph plot area rather than lose that space to buttons that can hide until hovered over, IMO it’s a little neater and efficient use of screen area.