It is true that wizardry use linkmastery to a specialized extent, so it is quite possible that somebody proficient in this skill could be a wizard bane. A pyromaster is pretty much immune to fire and electricity as a specialization of pyromastery. So by extension a linkmaster should have complete control over links and not be much effected by them directly. Effectively a demon capable of ignoring commands, bypassing wards, and causing spell failure to increase in their vicinity.
Wizards likely have prepared defenses for their spells, but animages are rare, and those who obtain mastery of a field are uncommon. Since wizards use links anyways, linkmastery is likely not sought after to any great degree. They could not shape magic to the extent a wizard could, but if they learned wizardry and linkmastery they could likely customize spells on the fly to some extent, make it more difficult or impossible for other wizards to form the links needed for their spells, and become one of the most wanted targets for wizards to try and eliminate.