The idea behind the anti-ice on is to drop the pressure behind the stalled stage thus giving it a better chance to recover. Any bleed opening behind the stalled staged would do the same thing and of course if you lower the RPM it has the same effect.
The opening of bleeds however decreases the total airflow to the turbine so do expect EGT and Fuel flow to go up for the same EPR.
Some newer engines do this for you automatically.
However, it won't work in all cases, although reducing RPM is more effective (even that doesn't work in all cases so be prepared to shut one down some day.)
Most engine mechanical failures result in stall symptoms. Unfortunately some perfect mechanicaly working engine may stall and need to be recovered under some conditions.