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I propose to set startup default box thickness of section tools to (101)% of object dimension to avoid the case of attached file
if you select mesh then open section tools and do not change any value mesh loses some vertices
but if you select mesh vertices then open section tools and do not change any value no vertices are lost
it is cube 2x2x2

.. ..

Yes, it's probably because of the numerical accuracy of the text fields of the 'Box thickness' UI.

I guess adding 1.0e-5 to the b-box extents would do the trick as well.

Since precision is the same 2.0000000 and no cut in between mesh vertices a
What about using (keep mesh vertices if =< box ) instead of (keep mesh vertices if < box ) in result mesh

Well, the 'cut' is purely visual and done by OpenGL at display time (as OpenGL works also with 32bits floating points precision). So 2.0000000 is in fact something different when represented internally.

This should now be fixed in the latest 2.14.beta version

I checked latest beta (30-nov) and not fixed yet

Yes, it seems the commit disappeared somewhere...

To explain this issue, It is not about visual cut during display in section tools, but about the result after section
..

Well, I guess it's still some numerical accuracy issues... I guess slightly enlarging the box by default will fix that in a way.