They could now if they wanted. Most lakes are government or private property. You think they’d want to lose profit margin?
Not to mention the massive difference again, the wellbeing of other people. Houses are crafted by skilled workers, it’s not a right to their labor, nor a right to the owner’s property who purchased it after it was built. You do however have a naturalized right to survival.
The point is, property taxes are fine but saying “um you should be forced by the government to use something you own in a specific manner” is nonsensical and authoritarian overreach at minimum.