You're quoting an old copy of the rulebook.
2018 rules:
http://www.nhl.com/nhl/en/v3/ext/rules/2017-2018-NHL-rulebook.pdf
67.1 Handling Puck - A player shall be permitted to stop or “bat” a puck in the air with his open hand, or push it along the ice with his hand, and the play shall not be stopped unless, in the opinion of the on-ice officials, he has deliberately directed the puck to a teammate,
or has allowed his team to gain an advantage, in any zone other than the defending zone, in which case the play shall be stopped and a faceoff conducted (see Rule 79 – Hand Pass). Play will not be stopped for any hand pass by players in their own defending zone.
79.1 A player shall be permitted to stop or “bat” a puck in the air with his open hand, or push it along the ice with his hand, and the play shall not be stopped unless, in the opinion of the on-ice officials, he has directed the puck to a teammate
, or has allowed his team to gain an advantage, and subsequently possession and control of the puck is obtained by a player of the offending team, either directly or deflected off any player or official.
Those bolded lines were inserted specifically to prevent players "dropping" the puck in a way that gives them an advantage over a defender.
Interestingly, 67.1 mentions the defending zone and 79.1 does not. Doesn't really matter in this case as the puck was thrown in the neutral zone, but it's an interesting discrepancy.