Shouldn't be any draw unless commanded. I suspect the small LED you see come ON is just a small led across the two fuse contacts. It comes ON to tell you that the fuse has blown or pulled out like in your case. When a good fuse is plugged in around the LED contacts the LED light goes off... My 12VDC fuse positions in my 12VDC Power Distribution Panel all have the little LEDs for each ATM fuse position...
12VDC Power Distribution Fuse Panel
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Roy Ken
My Posts are IMHO based on my experiences - Words in CAPS does not mean I am shouting
Roy - Carolyn
RETIRED DOAF/DON/DOD/CONTR RADIO TECH (42yrs)
K9PHT (Since 1957) 146.52M
2010 F150, 5.4,3:73 Gears,SCab
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2005 Flagstaff 8528RESS