If the lighter itself has no power, you might want to check the fuse (20 amp yellow) itself first before cutting. I believe its fuse location # 45. I don't remember, but I did this Brawlee tailgate lightbar awhile back and had to move the fuse over to the constant hot side (#43 position) from the intermittent side(#45) of the socket where the fuse goes in at. Also, get a meter and check the fuse as well for continuity. Get a flashlight and look directly down at the place where that fuse goes into and you'll see there's a way to insert the fuse over a bit. (I did a write up on this issue of power on another site.)
Well, if you had the F word as being the cause, you were right. Initially, I only checked F43, but F45 was toast. I totally forgot about F43. I finished it up with a different switch since I wanted to keep the 12v location and didn't want to drill a hole for a lighted switch. Works just fine. Thank you, and @JSFoster75 for the guidance.