Actually this is not true for people with I-485 pending status (c-09, AoS category). As long as you have filed your EAD renewal form I-765 before it expires, it gets renewed automatically for another 180 days. All you have to show to the authorities is the I-765 receipt notice. I have firsthand experience of this a couple years back. In certain states, your DL can also be extended using this rule. Please check with your local DMV.
https://www.uscis.gov/i-9-central/fo...-circumstances