Is that the only time you have voltage there? What about key off (out of the ignition) and all the doors closed?
This may go back to a defective door switch and the PO just pulled the bulb as a fix.
Scott
'
Camano' 1986 F250 Supercab XLT Lariat 460/C6
'Chanute' 1980 F350 C&C 400/NP 435 - Gin Pole
But there ain't nothin' wrong with the radio