I tried this out and it did cause one problem with plugins: datasette-cluster-map still injected itself inside the scrolling area, when instead we would want that map to stay outside of the div with the table in it.
I have a similar problem with horizontal scrollbar display with Datasette version 0.51 and superior for a table with more than 30 rows. With Datasette 0.50, the horizontal scrollbar is displayed, if I upgrade Datasette to 0.51 and superior, the horizontal scrollbar disappears.
Datasette 0.50: horizontal scrollbar
Datasette 0.51 and superior: no horizontal scrollbar