The answer depends a lot on one's field of work, where the end product will appear, whether the collaborator's mutually agree upon the package and finally the OS one use.
Most journals or conferences accept manuscripts in
DOCX format; other than
TeX. Native formats of OpenOffice or LibreOffice are not [always] supported in most DTP centres/print or publishing houses.
Say, for example if you are in Science; esp in Physics or Mathematics, most of your academic writing will have lot of equations. In that case it better to opt for MS Office (along with MathType). This is because the equation editor that comes with OpenOffice or LibreOffice is not compatible with MS Office and vice versa. The equation either get converted as a figure or appear scrambled when opened in a non-native package.
If the collaborator uses a different package, compatibility is a big problem.
If one has to work in different OS's; compatibility issues comes in there as well. For e.g. MS Office cannot function natively on Linux systems.
So considering the fact that the academic work always reach a different kind of post-processing mechanism, it is better to use the most popular package, MS Office.
If typesetting and publishing are done by self/in-house, compatibility is not an issue and any package is as good as any other package.
(As question is about three specific office packages, references to
LaTeX is avoided; which may be the best choice, irrespective of one's field of work/typesetting environment as @marc-van-dongen has already pointed out.)