ASA SP batter catching a pitched ball

[Antonella]

Funny.
In our forum (italian umpires) we've just discussed about this kind of situation because of this:
http://www.pianorosoftball.it/video/SimoBox.html

... Lots of different thoughts about it. I can tell you some of us agreed with the out. Some others said 'why? Let her do this, it can't cause no harm...' - someone else said 'let's call dead ball and judge the pitch ball/strike' (but how can you tell this if the pitch never reached home plate...?

A.