Doesn't even have to be GA pilots, one set of domestic Jet pilots ran over the cones onto a closed taxiway not that long ago at Melbourne.
I do find it a bit disturbing that they didn't think some more signage was necessary though. Still, always check those NOTAM just before departure. I get a full briefing for planning and go through it thoroughly, but always just before leaving I'll bring up my departure, destination and any alternate on NAIPS, just the TAF and NOTAMs to remove any other mess. Takes a minute only and easy to read, even if it's just on the phone.