The MVStore is relatively new and not yet as mature as the old storage mechanism (the PageStore). See also the documentation at
http://h2database.com/html/mvstore.html . Some advantages compared to the PageStore are: multi-version, simpler, more concurrent, writes less, optimized for SSDs. Disadvantage is that it temporarily needs more disk space, and is currently a bit slower.
The PageStore is quite mature and will be supported in the future for some time. However, support will be phased out eventually.