The higher coil resistance is not going to do anything about you Ac's signal sucking or power line noise making.
It may help the sirens electronics to work less.
Another thought besides the electronic air filter.
If the AC has electronic controls. It may have some internal power line filters on the controls portion, to keep it from putting noise on the power lines.
We have seen modern things like washers, dryers and refrigerators with electronic controls causing X10 and Insteon problems. That the older mechanically controlled models did not. Progress.