Looks to me like you are in one of the many "gray
areas".
That pulsed current rating has some backing use
model assumptions. These might include a case
temperature, a repetition rate, etc. If the rating
for pulsed current is made at 150C and you are
at room temp or even 70C, "probably" no problem.
But rating at room temp gives a better "marketing
number" and derating is the ugly surprise, sometimes.
Since your sourcing network impedance is high and
your shunted voltage low, a 3 ohm drain resistor
could keep you safely within spec limits and yet have
almost no effect on operation (tau of 30uS, do you
care given that the circuit is fairly crude?).