Does an Interdiction Nullifier module allow escape against a Heavy Interdiction Cruiser's Infinity Point?

Solution 1:

No. Scripted HI modules work like scrams/points. Nullification gets you out of bubbles only, same as for Interceptors and T3 Cruisers with the relevant subsystem.

Solution 2:

To complement the accepted answer - the heavy dictors' point strength is not infinite when loaded with scripts. The scripts make it essentially a disruptor or a scrambler module with strength of 100 points (and of course there is no technically a way to overcome such a great number with stabilizer modules).