Headlight Sw Operation

hi all:

i have a fully restored 1968 Dodge Dart 2DR H/T 270 and just noticed the following:

(a) w/ ign on and car running, pull out headlight sw and external lights are ON. Headlights, rear lights, and side markers, this is good;

(B) w/no ign, car not running, pull out headlight sw and all ext lights are on except headlights. I assume this is a safety feature except for the headlights;

is (b) correct in operation??. Car initially did not have inside dash lights. Took apart all bullhead connectors, cleaned connectors, greased all pins. Next removed old headlight sw and replaced w/ a good used one. Original sw had lots of corrosion on variable resistor

love my 225 SL-6 and DD 270 2 DR H/T

thx...mydart270