Question

The grace note type present in Notion is one of the possibilities... used for antecipation / embelishment of the main note.

There is another (without the diagonal trace) that plays 1/2 note tempo and gives another half to the main note.

i.e: 1/4 grace note before a 1/4 normal note produces (played) two 1/4 notes. We can see it in many composers like Mozart, Haydn, Bach, etc.

Answer 1

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Answer 2

similar problem here -> http://answers.presonus.com/27017/grace-note-interpretation

Answer 3

It isn't an interpretation-only problem, sometimes Notion actually fails to import MusicXML correctly when both types of grace notes are used (same for sforzando-type marks, they are not imported even though both MusicXML and Notion support them) so please take care of that. 

It's shameful not to be able to properly import Mozart's Eine Kleine Nachtmusik with software aimed at professionals.

2022 Update: none of the issues I mentioned are resolved. A partial solution to obtain some of the grace notes, sforzando and long note forte-piano marks (sfz, sfp and fp to be precise) to be played as expected is to set the score in Sibelius, export MIDI and import it into Notion. Shame on you, PreSonus – your software cannot even do the overture to "Le Nozze di Figaro" because it has no clue (or maybe no audio samples?) what to do when woodwinds get a whole note with an fp mark which is actually rather common in 18th and early 19th century scoring.