[Porsche_monkey]

From the NHL Rulebook -Rule 69.2 Goaltender Interference :

In all cases in which an attacking player initiates intentional
or deliberate contact with a goalkeeper, whether or not the goalkeeper
is inside or outside the goal crease, and whether or not a goal is
scored, the attacking player will receive a penalty (minor or major, as
the Referee deems appropriate). In all cases where the infraction
being imposed is to the attacking player for hindering the goalkeeper’s
ability to move freely in his goal crease, the penalty to be assessed is
for goalkeeper interference.

In exercising his judgment, the Referee should give more significant consideration to the degree and nature of the contact with the goalkeeper than to the exact location of the goalkeeper at the time of the contact.

Being 'pushed' is not enough, as along as deliberate contact, (which includes not trying to avoid contact), is made.

And from 69.3

If a goalkeeper, in the act of establishing his position within his
goal crease, initiates contact with an attacking player who is in the
goal crease, and this results in an impairment of the goalkeeper’s
ability to defend his goal, and a goal is scored, the goal will be
disallowed.

So you can't hit the goalie, you can't continue on into the goalie after a check, and you can't stake out a claim on the crease. Detroit players/fans might complain, but I did not see any blown calls last night. I thought it was deliberate and intentional contact, as described in 69.2.

You are more than welcome to disagree.