In theory it sounds great, unfortunately we have no real evidence of supply lines that we can hit. Essentially we only get to attack them at a time and place of their choosing. There is one possibility though, the barnacles seem to be important to them and some people claim that they are proliferating. Perhaps if we 'harvest' the barnacle forests it might have some effect.
Looking at Galmap it looks like a supply line of sorts if you look at destroyed stations. Perhaps harvesting the barnacles or repairing the stations supply are usually important in any kind of warfare.
Fighting on their terms isn't an ideal and doesn't seem to work. Surely there is mechanism to turn the tide but maybe not.