Lake County Forest Preserves is a joke. They buy all this land with my(taxpayer) money, and then restrict access. Places like Sun Lake, Lake Carina, Hastings Lake, etc that I used to be able to ice fish, I can't anymore.
I'm so sick of LCFP's yuppified idea of what a forest preserve should be and their restricting access.
To answer your question, yes that's a weird rule and one probably created by someone that has never ice fished. I would bet rangers patrol rather heavily at the 3 whole locations we're allowed to fish at. I also wouldn't be surprised if they came up with bogus rules like 6" auger and 2 hooks just so they could write tickets.