They are on different fuses. My lighter wouldn't work, but my phone charger always did.
Cigerette lighter fuse is in the panel by the P-brake. It's #3, third one down on the left. 20 amp.
Power point fuse is in the box under the hood. #1 In the rear right corner. 20 amp.
On page 190-192 in my manual. 2001 if it's the same.
2001 Supercrew. 4X4 Lariat 5.4 Edge CS